Question
Solve the system of equations by graphing.
![open curly brackets table row cell y equals 2 end cell row cell y equals 5 over 2 x minus 3 end cell end table close](data:image/png;base64,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)
- (2, 2)
- (2, 5)
- (5, 2)
- Infinitely Many Solutions
Hint:
Use the substitution method to obtain the answer.
The correct answer is: (2, 2)
You can also use elimination method to solve the answer.
Related Questions to study
The number of solutions to the system of equations is,
![](data:image/png;base64,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)
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
The number of solutions to the system of equations is,
![](data:image/png;base64,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)
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
Identify the number of solutions does this system of equations have
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMMAAADCCAYAAAD0I3YPAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACnsSURBVHhe7Z13fBXH2e/95o977+e+addx7MRg45pi57WTGBsnju3EcQEDbsTxm+K4xEnexB2DMWA6CBC9qBcQqCAJ9d67kFBHvXeECqj38rvzrM4JKrOrPbsCjuT58Xk+6OzszpkzM98pu/Ps3AQhISFJAgYhIYMEDEJCBk2CYWxsDP0DAxgdHTUc0a7BwUEMDw8bPmnX0NCQZHpE1/f39xs+adfIyAj6+voMn8xDlJ7ZKC/Kn9korwFWf6js9YjSoTcOEpUX1We1mgbDxcZG1NXVoampCU0XL2q26poa3fFcYtfWsnhqmNHfvHNmMmMcVZWV3HC1RvHUs99TWVEh5dElzjlqja6vra3FRU6YWqPvp3goPfX19Zrzh4zSUcnyh9JkajwXm1tQ1NCCivqLaG5i5V5VhZrqau3pofJi6aD6o+c3UTx1LB76X62mwUA/hDK4saEBDSyTtVpZaSkqy8t1x1NeViYZL0yt0fXFRUXcMFOMgCoqLJQymReuxqgCl5aUIDw8XEqXnvyhdBQWFEjp4oWrNYKc8qeClRcvnGeNZA2NCEjNhVvyBRRX1eFiQz1Kioulsuddo8YoPygdeuIgo3ioHlMeqdU0GOjinu5uwxHtamSFfuXyZcMn7WppbkbzpUuGT9rU0tIiQa5XnR0dUgaPsu5Xj6jls7CwkFpkPaLhBFWc7q4uwxFtGmNGLfrltrbxAyp1sbMTe20T4B9eYDgCCSxqmfWojaVDbxykLpY+Sg+r2IYjyuLC0D1fYVCZKXLqMMAwonNsnZ6ejpdXrkQpa/30iOZCswHDKMsX02EYwTm/PGx83wexCeWGY+YFQ6eAYbrMDYYA/wD89te/wbnUVMORq8rLy8O+vZZISU6RPtNE0tbaGvn5+dLnibqRMGSUXUTIKh+4vOWBtKqrva6AgSMBA19UuY8dOYolix+Fm6srRkYm3wmi3uLVl1/GG797XfpM57/z1ltwcnSSPk/UjYKhtr0TnhsiEXvzceSsD0Jt99XrBAwcCRj4ar9yBW/9+U3cd/c9WL9uHfdW7SmXU1j8s5/9uxw8PTyQkJAg/T1RNwKGjtE+JDin4sIdDIRvWqHYLRfD7J9RAgaOBAx80d2fxxcvxq03fwcvrXwZl5qm/7aEuHg8seRxFLChUW9vLxwdHHCFQTRV1xuGUfbvfHQhzi8+ibab9sL/x6eQkdRgCB2XgIEjAcN0tbW2YteOHfjFY4/hroV34DdPPQ13V7dpvQOl95mnn4afry+Sk5IQHRVtCJms6wnDGPtXkl6DuKU+KL/pADoZDM6/9ED8+cmVVsDAkYBhuujh4R4LC2xcvwFPPvEEtmzeAqtjx6X0TdXvV/2ODaf+jOCgIAzKPEW9XjD09vajOqECSSs8UfEfB9B1kyU6GAzey12QVlRvOGtcAgaOBAxTxL67r78fvawXyM7KwisrV0p3iJovNWOAs1Rkz+7deOqXT0gP6eR0PWAgEEMyCrFrjT+OP+WKjAXWuMR6hnYGQ9gbrsitE8OkGSVgkNeFCxfw0vLlUkWWk6+PD6IiIg2f+LoeMHR3dyEkuxT7I7LwumsGHJ84g+hFJxB7qyOC/+KJwimwChg4EjDIKzc3V4KBlhzwRJUhLi5OejKspOs2Z2Dhl9pbYH00HWF3OsHuNR9s+Cwclp+cRWaxGCbNKAGDvORgiImOhp2NLQL8/NDe3m44Kq/rOYH2zKuE50oP+N1zCqcOJMIrKx+WZxKQXjh57Y+AgSMBg7x4MNBy44MHDuCj9z9gFUHdSsvrNoHu68VW10I4PXga25f7wj2rcfzuUkMz6lom3/IVMHAkYJDXTMMktbpeMKSU1sDpzUD4L3KB3cZQZDdPv/tl1LyDgR706BWtyKSnrXrVyioyAaFHra2tkk+DXnWxSkfLpcd0OtOomUCrEfUmFEdvT4/hiHZRY8FvvIZxLLQIIffbw3mxB/zjq6RjcqLl0+SHoEeXWTr0xkGiRl0XDFRpLrGWmKjSY9Usc2lNOS/MFKurrZMA5YWpNXIyokpDS7B54WqNAKfWnJ4G88LVWA+ruCnJyVixbJl0i5UKjHeeGqNKQ74ResurneWL0bdi4vEOZhcuXoLtlmRE3+qAfe+GILDiEnq7uyadN9GosaA6xAtTaw31DQxOfXGQUXlR/dEMAz0YIq8n8p7SY1RpaEjBCzPFysvKpYLiham1cgZCSVGR1ErwwtUa5Qs595A/Ai9cjTWzXi4yIgLLnn8eiYmJUkXmnafGqKwoPVVsiMMLV2vUWJBzz8Tyoha+rqEe21Jq4bjMB47/dQaOrkUoqm+UnHgmXj/RCE695VVRXsHqj744yCrY75FgUCkxZzBBX7U5Qxv7vduOXMDp+05h+x8D4Vs2Hq6UjfNuziBg4OurBkNAbhV8nnWDP91OtUpGVcfMc0ABA0cCBnnNBRgGhwZg4VUK/4VOOPK8L0KK6Q7SzPknYOBIwCCvuQBDfHk1HP/OJswLTsDx8wgUtM78EJAkYOBIwCAvc4dhaGQYmwMLcfph1iv84iw8w8sxPKLuPUYCBo4EDPIyVxiM5VVR34jja2Lhu+gkdrwfhvCaVum4GgkYOBIwyMvcYXBLKkbwz51w5kF3nPXOQeeA+vgFDBwJGORlljCw/LnS1or2nk4cscpG+AJ7HF3lg7hK6hXU55uAgSMBg7zMEYZalj9tl9vgl1cOr5VnEHDnSbjuiUF9p7qJs1ECBo4EDPIyNxjGy70adQ0N+NKjGC4PuGDrigB4ZzSyMNPeHihg4EjAIC9zhKGWwRCWmgW7v4bBn02cj24IRWaz+omzUQIGjgQM8jI3GFjGoKquBlvdkhH+IweceMwTQdFlGBpV/zp3owQMHAkY5GV2PQP7l1pVh11fJiD+FjtYvhuE+Iva4hQwcCRgkJe5wUCzggPZzXB64SxOPOgOz9PZuNyvzadFwMCRgEFe5gbDla4erLcthuv9Ltj0x1AElml3ypp3MJADil6Zm6cbrf3XK8pcgkGvpxu9aZtgqCgrMxzRJqOnm979NMJzKuD9whkE3O2CE8cSUcF+p1aZk6cbeSbqgoEcVygxtMeXHiOoqEXnhZlitDsMeWDxwtQa9VJVrBL39/Vxw9Ua9TDkuEKVjxeuxuit2ufT07HyxReRf+GCtAca7zw1RoVNvQutKeKFq7Felp4d3qUIWuiAAy8GISTvIgbYEIl3rhqjHpgqIC9MrdHWU3rjIKNGUBcM1IKSZxhBQX9rNaPHk5546NrSklIpLq3xSHGwCkOebrxwtUbxUL6QZxk9reWdo8aooMPDwiRPt/j4eKkH5Z2nxsjDjdJDHl2m5k9dLbueXeOfWwWr92MQerszrDanIL6sFk312svMuI0VL0yN0e8gL7eSYu1xkEnxsPqn29ONxsa0RZIeI7c7etEuL8wUM25yxwtTa+RaSWtvhtkYmxeu1qjHpGEJvQ6SF67GaGiTlZUl9QzkakmfeeepMXphMTU4He3t3PCZrIf1Sl8G5MP9p8449gtf+EZWom+wj3uuWiP/Z+rJeWFqjXpgvXGQka+6WcwZaGhiVnMGmkDrlHHOoHdPN+OcgSqyHlGB65kzVDdewv71CfBb5Iy1HycipFH/tr5U+fROfsfnDPon0LrnDOJukrzm290kz8QChCw+Ac8H3HDMJQuVOu9KkWYDBnFrVUYCBnlph2EM7T1d2G+bi8gF9ji0KgCu8RdYD2PaojyeBAwcCRjkdaNhGGEwhOQUw/tlL4QvPIGTO8MRn5uDbhNXqPIkYOBIwCCvGw1DN5s4r/PIh9sDJ7F9eRB8z9Wiqqoc7bNQXgIGjgQM8rrRMOSU1eDI3yLYxPkELNeHIq2pDY11tdNeFaNFAgaOBAzyupEwDGMUx4IvIPwH9nBZ4oWA0Hx09nehtrpGwGD4X5KAQVlzH4YxNLS24Mj2FCT9Pxvs/GsIkqTVqdNfFaNVAgaOBAzyulEwDI2N4GRSAc486w7XHzNzTENL//izBQGDgMEkzXUYrvT04VO7QrjfdxLr/hiO4GIqnzGp3AUMAgaTNNdhiMsph9sKHwTe44LD+6NReKVDOi5gGJeAwQTNZRiGxkaxzasYEbfb4fCyAMQUNGFkdPx3TH2jnh4JGDgSMMjresNAbp051bU4/lEMEr9lg+MfByO//WoZCxjGJWAwQXMVhr4R1isE5cL7p05wWOwNb59cdA9eXZQnYBgXFwbzWrWqH4av+qrVmost2P5lMgLudMSGf0UgtmZyuVBVIRhmo/GaDRho1epswDArq1apBaR19nqM3P/In4EXZooZ/Rl4YWrN6M9ALTovXK3R+niqfIMDA9xwtTbVn0GrkTeX5M/AKa/h4fH/h0ZHcTY2D0GPnoTPA2444ZyMms72SecOsXyhvdhoufzE41qM6g/5IvDC1Br15HrjINPtz0BeQubk6UZeTzSc0BqP0ePpq+bpVls7bnmV1dh+NAPRt9vi8KtB8E+hve2qpp1PYBLoWvPZaLPh6VZeWi55OPLC1RrFo9vTjSKhMRt5UekxioeGN7wwU4xaCOpleGFqjYZs5APd19vLDVdr1GIR4DQs4YWrMfJ5Tk9Pl3b7pC1w6TPvPDVm9IGWK6+u3h6EpF+A56veiPqeI2y2RqK4tY31bP2TzqOtjmn4R73wxONajIaj1BrzwtSa0QeaF2aKUXnpHiaJt2PwZZwz6H47xizvAy03Z+geGsEGz3z4/NgJ+58NQEhKDdgAwhA6WbM1Z5hXb8cQd5PkNdfuJhWU18HyXzGIvM0eW1YHIbWZ768g7iaNS8BgguYSDEMYg1VQLoJYr3DmkTPw9s/ElQF+jy9gGJeAwQTNHRjGcPHKZezcl4G4m21g8U4w0hupV+D/fgHDuAQMJmiuwDAwNgLPlHy4LvOG1w9d4WKXikts0iwnAcO4BAwmaK7AcLm3Hx85FMLzPmds/F2ItA5pbEx+0i9gGJeAwQTNBRjoF6bklOP4GyHwu+8ULPdGoqhd+d2pAoZxCRhM0FyAgXZr3uuZi8g7bWD7bCDiM+swOKKcXgHDuAQMJsjcYRjDKAprG2D5RQKSvm2Nwx+Gorh95n0WBAzjEjCYIHOHoXd0BIdCMnD20RM48XMveHtmomvC6lQ5CRjGJWAwQeYOQ8PlTqzfk47AO+zx+f9EIb6SKvfMv1nAMC4BgwkyVxh6e7qlKh+WlI+zT7rj7ANusHdKRi07rkYChnEJGEyQucLQxyp9z+goLBxyEHerNY68FozUwosMEHXpFDCMS8BggswRBvJD6OjsQFpRORz+EoaI7zvi6JYIVHWpX2wpYBiXgMEEmRsM5OlWU1WJutY27PTIhO9PnHHw2UCEJVRgcHTIcNbMEjCMS8BggswRBnphcNqFEmxak4zw79tjw2chON9i2gaFAoZxTYOB1v2TB1VDQ4O0FZVWo4KmiqMnHrq2vKxccqjRGo8UBxtXlxYXc8PVGsVTyYYk5FlWxzKYd44aIzCjIiMlT7ekpCQ0M9h556myulrklhTjaMAF+D/iDs9HzuCo2zlkMvDJKYp7jYyRh5re8iIzejjywtQYfX9FeQWrP9rjIJPiYb9Hn6cbg4E8jagV1GPU0lCB8MJMMeqpKE28MLVGlZe2maW9z3jhao0clqiwqcfjhasx6nWTk5OxfOlSyReaPvPOU2Pt7ZdxrrAM63ekI/Vma+x4NwyJ1W3o7Orkni9n7SxfpAaHVSJeuClGQFEvzAtTa1SZ9cZBRuUlwaC1Z6DKR26AemVunm4ElF6R5xRNWPV6upG7Jw2T6E6QHg0wc06vhv1yP/jd7wJH2xS0DtGCDNNFlW82hrXm5OlGDY2YM0zRfJ0zXB4aw/unK+H9gxPYtCoUCXmNbPxv+mtsxJxhXAIGE2ROMNBb8jLyq7H/jxHwu/cktu+OQnGHtnITMIxLwGCCzAkGctU54JGFyEW2sH8uCLHpVegb0TZEEjCMS8BggswFBnLUKW28hF3rE5H6jePY93EEKjrlPdlm0lyFgc474+Eh3Ygg0dwwODBI+p8kYOBovsHQPTIM69Dz8PrFKbg/5AEv93R0DH31YCguLsYrL72ETz76CBdZfTt65Ag2fPHFv29MCBg4mm8w1Ld3Y63lOQTfYYePPkhGYjU5+2u/wzWXh0lxcXF45ulf4+D+/dIt2YkSMHA0n2CgPZyjUwrg9lsveD/giu2n8lHapy89cxkGutV9x+23IyQ42HDkqgQMHM0nGLpGR7HHPhOJt1rhwCvB8EgoRPfAzA48SprLMND7VH94330CBrWaLzCMjI0gq6QSVu9GIvp7DrDYGIqonDwM9+t7SDpXYaCHoH6+vnjj9d/jkw8/lI5RGVE9JgkYOJovMFweHMRe9zT4PXQCVs8EIiDsAgrLiiR/Bj2aazBQGbiePg0ba2uUlJTA3s4Ody28Ax7u7igqKhQwKGl+wDCGwpomfP55EsK/b4t1ayKRfvEK6msqJ70dQ4vmGgxpqefw7tvvIDoqSvpMiwzffftt2FhZY3jCm0AEDBzNBxj6MYozQZnwXuwKn5+545T3OdR3d0j+DF81GNTqmsNAa+hpxxhjVyQnAYO8tMDQ2teHXfvSce6bx7Dz3XDk1bdhdGRQWqb8VYRhdHRU2ttCSdcMhk6W4fFxcdL4rFRFIQoY5GUqDAOjw4g+XwTHVwIRdDebL1inoGVkhP2eUekB01cRBtqbIicnByedTyDj/Hn0cFZa64eBXUyJudLeLj3hO3vWBxa7LPDxBx/iuWd+izWrV6O5eebKSctw+1lrpldd7Ad1skqoR13dXbOyJHiQTWDJR0OvpCenK1dKDY8atbOyXO2QDf97nGDxegQyi1oMIeNLpvXCSaLKNxtL92nJvd6l+1Sx1cRRVFSEN//4J6x8cTk+/fgT7Lfch7CQUJSWlUkNOjVelD9qNQ2GwoICJCclw53NzL/4fB1+/eRT+N4t38V3vvktLLj1NvzpD3/AwX37cfjgIRw6cFDWtm/dBoudu9h5/HA1Rtfu2r4DO7dt1xyPMY4tmzazzwemhas1imcPaxQ2b/xS+v28c9TYkUOHpXx9/NHHsGnjRhxRysf9B3Dw0CFYOPpjw1/i4Md6hRfeccVHB2xx9MB+qfApPXt379aVz5QvWzZtYuW1U2c8B7Ft8xbsYOXFC1Nj9P2UjpniOMLyherF0udfkOrnzVQ/b/seXnxhKTZ9+SUCAgKQkZkpeUqq1TQYigqLkJOdg/j4BHh7ecPWxhYb1n2BVa++invvXISfPfSQVLFo5m517Lis7WYVZ7+lJayP88PVGF1ruWcvK+w9muMxxkFAWB07Ni1crVE8BxgEO7Ztw/EjR7nnqDHKt02sAv/isSWswdgKm+NW3PPIrFl6D1jbYNVHdgi40xYOzwXB4nQsDju7wProURw9fAQ7WKNDlVlPPlO+7GT5s3+vvvIio4q812I3N0yN0fdTOmaKw5bl49rVn2HRnXfhB/fci7f+/Ca2bdkCO1ZffX18kJqaKg1HdcFAYyyaIE8UbWGbkpyCQ4zaLzdsYJO2mb+Ath0dmBKPFnWzIU5Xl2kO7lPV3dOje95Bolez0IIwvaJ74zRMksazM6ihqxd7Np9D2tePYs/qGDT2Tn7rBQ3b9O5LTaJh5GwMa6mukHutHvWydKiJI5O1/OvXrZPmsRfy8qRynijam1AaJmmeM8xwN4nuXtCkdiaJCbS81E6gu4aH4BR6Hmd+5YazD7rCwzUN7RPcOqe+XlKr5uIEmu5qkmtxS/PV+dNUiecMHM1VGGo6evDZ3mSELbDBun/EIr2c8uHq6tSvMgxqJGDg6HrDQC1WbEwMzqelcYdVamAYZpU+PrUIjkv94fPAKVg6pKCmZ/IwRsCgLAEDR9cLBpon0Y2Djz/8EE4ODhIQ27ZslW5C0EMio9TA0M7O329zDkm3sAn2qlCcy6vC8JS35AkYlCVg4Oh6wEAVe+lzz+PTjz6WntUYRUuMn3riV7C3tTUcmRkGesNFXnkdDr8XjZjv2sJyWyzqe6ffjBAwKEvAwNG1hoHif/pXv5IeAE3sAYz64J//wlO/fOLfd+lmgqF1YACH3FPg/9BJ2D/pi+CIAvSPTgdQwKAsAQNH1xIGqvyfffIpFn7v+8jPzzccnazP16zFfYvulp6YkpRhGENBXQtWr0tC+O22WLMmBgUt/PIQMChLwMDRtYQhP/8C7lqwEO++9bbhyGTRLcA//P4N/OTHD0jvaiUpwdCPEZwNyoTr42fg//Bp2J5JwSUZTzYBg7IEDBxdSxhOnzqFm7/xTXh5ehqOTBa9APfnDz+MV1a+JFU6khIMzX39sNiTgrRvHoXFXyORV02/nf9QTcCgLAEDR9cSho3r10tDpPT0dMORyXJ3c8e3v/51uJw8aTgiD8PA6BCSskthsyoEYXc64qB1KlqG5Z8uCxiUJWDg6FrCsIHBQC6HlM6pogkzLXRcvnSZ5K9rlBwMjYND+ML+PALudcLuV0ORnFnN+gQBg1YJGDi6ljCEh4Vh0cKF0pr6qaJVu0sWL0bBlIk1Dwbawzm7tAnr30uE3z1OWLs7HpWdymuFBAzKEjBwdC1hoAnyZ6tX443XX5cqPT1xpmXwjvb2+PD996XnDFPFg6GbwWB3+hxC7neC8zO+8I3OQeeQsieXgEFZAgaOriUMpCH2md7WcNLZGd5eXtLf9PR5mFVWnqbDMIqK1nZsWZ8grU61+CweVZepgiunV8CgrFmBQWxWwpeazUrIG24mTd2spHtkCK7hGXD9tSeCfnASLqfOoXN05mXZ5PpIcfROWbqsRdRYzEbjNa82K6FKI1Xk9nZprY1Wk/aFYxmjJx66trZmfBsrrfFIcTDAaRsrXrhao3iot6NtrKgF5Z1DPQe1RvQ/L5yMgKK93KRtrDIz0dPdhdxLrfjMMh4RC+2w5m8JCDtXyBqS1hl/M0FO6aFWVGv+GM24jZXeeKjnlMDihKkx+v76unrWU2mPg8xYXrr2dDNucEgR0T1yrUZDAGpF9cRD11LLRwWlNR4pDlZAtMEhL1ytUTyUL8VFRf/eQE+L0ZDNuMFhanIymlqacTY8HUdWBsD3gdNYa5+J9Ko6XLrIv36i0RooSk81q3x68pmM3j2kt7zIjBsc8sLUGH1/ZUUlqz/a4yCT4mG/RxcMYs4gL7k5g6kyzhlqKitAA5wjx5ORcKsNjr0WiujzxRhUuemImDMoS0ygOTJHGF5esYK1oMUou3gZB/4Wi+RvHcfOHclo6FW/+46AQVkCBo7MEYbXXnoJyWwi7eybiYCHTsHnp67wD8hA75j6uAUMyhIwcGRuMOQRDCuXwyf2HL7YnIawBXZYuyYO+Y109019GgUMyhIwcGRuMOSzHuG5pc9h30E3nH42GIEPnsC+04lomuF1iVMlYFCWgIEjc4OhOD8PS555Bn97ywZZtznC8q+RSC+pxQjHgUdJAgZlCRg4MjcYCsvL8NjKd7BuiSNSFzpg9/FUtGp495GAQVkCBo7MDYaCtk48/4kb3BdYw3pZMKKTSzCksDpVTgIGZQkYODIvGEaRWd2GTz9Ihd8iJ/xrdwaqukybKxglYFCWgIEjc4Khk80LnN3TcOZhV3g84QmPsCx0Dmvb2V/AoCwBA0fmA8Moyi93YfMX8Uj9xlFYrE1ENRsysYSNB5soAYOyBAwcmQsMXUMD8IrMgsszZxF5jxPsT6agc8IeZKZKwKAsAQNH5gJDWUcP1u2OQcRCe2x5OxapF6okDzetEjAoS8DAkTnAMDI2isSsKlj+PhzuC23w8jp/lF3RV4kFDMqaFRjovfZ6ZW7OPRIMOkWZSzAoOffI6TIbIllbJSDqXhdsesgaT/55NapUbAemJKNzT88sNF4Ew2w0Xubk3EO+I7pgIEcYaolpQ0MqfC1G+7DRGnvyB6YE8c5RYxQP/RgCVNrbTYMZ46BKwwtXaxRPEysg8tMgxxG16aHzunq6kdPYgX3/iELa7c5Y+hc3PPbsMhTmZaOvt5d73UxG8ZITC/kPUHmpTc9Uo+uox5N8RhoaNMdDRteSTwQ5Y2lOD6sv5I+gJw4yiofKS4JBpSbBQCLnHnL0IMcIagW1GjmdUEFR5vDC1RqlRUoPJ0yt0fVFhYXcMFOMfg85+xNYvHCekc9CVnkVDvjmw+1xT4Q/dhafHgzBky8sQ3x0lNSS8q5TY5QOSg8BygtXaxQP5Y/efCajctcTD9UXup7i4YWrNWM81JCqFXeYRC0FdcH05gctRmNqKmQa4uiNh7pLGj/S37xzZjIpDtZy0jCAHPT1xEPDCKo4tD2X2njGRoaR29COj75IRNCdDti2MQ0ewYl4ZcVKqcBpyMW7biaj76dtp6hFpy2f9PyuQZYvVHloOKo1HqNR/aEeRnN6WH2hdOiJg4zioZ7TLOYMNIGejTnDrEygZ3nOYMoeaoMYRkRsIWx+44egHzpiv3cmotLTsOqllVJF1iMqdIJT75yBqspszRmo8umd/NKcYTYm0LrnDASDuJvEl5a7SRf7B3FwVxySb7bCwXcikF3ZiKzsTNYzrJjwqhhtEneTlEWNl4Bhim4UDMNsCJRd2YxDf4hCwi1W2GGVhj7WDhfl5017iZgWCRiUJWDg6EbBUN/bh0NOifB58DQcnvVDREKhdDw/T8CgJAGDjOYuDGPIqb2CNf+Mhu8djvjn7hzUdqjbuUetBAzKEjBwdCNg6B4dhpdPNk79/Ay8lrjDOZhWp45fJ2BQloBBRnMThjGUt/diyxexSPrWcexZm4Tqlsvs6Pj3CxiUJWCQ0VyEoW94AGFJBXB8zg8xd9jB6uQ5dI+ZtvWtGgkYlCVg4Oh6w1Dc2YPNe6IQsdABu/4UgeTscoxOWJ0qYFCWgEFGcw0GWpKdUnARO94IR+A9Dlh37BwauyZvOiJgUJaAQUZzDYbWwX44WCcg8O4TcF16FkEJOdP2cBYwKEvAIKO5BcMYChovw/Jv4Yi72Ro7LM6jqZuWtkz+XgGDsgQMMppLMFxhvYJXUBbcl3gi/EdOcPPPxMAUEEgCBmUJGGQ0l2DIae7E2o1xCLzLEVs+TUBJbQs7KmAwVWYFg/B044syl2DgrVodHhtGRHwxDv02AME/sMc2tzRckYEmz7AcY76uWp1Xnm6UmIGBAWkfYy1G19KuMtSi642HvOVobbvWeKQ4GJi0Xl86piMegooqMO2hNjE9w0ODKGvvwrEdUUj4rh0OvxWGiIx8dPV2T0s3VeDz589jxbIXkZ+fL32eGK7WKF7qwal3oRZ96veoNbqur69PgpwqoNZ4yMjPgxod8mXRkx6jh5qutLBrqbw0w0CSPN2KiqStn6jgtRi1VkaPJ93xGLye6G/eOTMZXUfpIE+ucva3nniMnm7Gz8b/q6rKEJhSCMtVIUi6zQ4b7HKRVVaKqvKr5xmNCic4KAgvPPscoqOipM8Tw9WaMV5KD6Vr6veotYnxSOWlMR4y2jeP8llXebH6YvR005UWFg/FQSMdteL2DG2MKPKiIv9cTcaupURQS6M3HuoVqKWhv7nnzGQUB+tdqOUzfp52jhpj19HcgzK6h3W/xngG+vpR2taKw3Yx8H7QFad/7Y3AuHx0D/SxsOnfNTQ4iPS0dKlnuMCGS/R56jmqjMVNwwDqGai89PwuGhZTxaNxuuZ4DEY9AwGuNR6qL5QOPXGQUTxUXlLPoFJizmCC5OYMmY0dWPuvKJxd5IwPLHLQ0K6cf/N5zjCv3o4h7ibJi3c3ifZw9vPPhdOjXvB+9DSOB2eje4ZXyYi7ScoSt1ZlZO4wlHT0Yue6aMTdbIN9a5JQ2dTMKpeAQY8EDDIySxgMw6SBkQFEpZbA5nl/xC+wxpHTGehT8bpIAYOyBAwyMmcYCju7sGtPBMLvdMSBP4QiKauU84htugQMyhIwyMgcYRifQI8hsaQZW/47DP732GPN8fNo6uwdP3EGCRiUJWCQkTnCQKLVqSdtk+Bz/yl4POeJs/G0OnX6k2meBAzKEjDIyCxhGBtBflMHLN8LRcwtNthNq1M71G86ImBQloBBRuYGQ011Fdp6uxAQlgvXJZ6Iut8BJwKyMGQ4R40EDMoSMMjI3GCor6lEWuNlbNwUC/+7nbHngzgUVZlWcAIGZQkYZGROMEjLH8qLERRXAsvngxB0vx2+dE1H+yB/daqcBAzKEjDIyJxg6O/tRkxuHqy2hiHm+06w/VMQInOKMDzDQ7apEjAoS8AgI7OCob8b3kn52PtqEJK+Y4WtNlloH6A9nE2LV8CgLAGDjMwJhrK+Aew5fQFnHvKA5xPu8Ikv0LQ9oYBBWWYFgzntz9DKYGjRC8MsrVpNaOrDJ58mw+uuk1i9MweNbdoq4Xz3dNNbkc1qfwYiamR0VFp2oMnYtbQvF62zH9UZD+26Q55PmtPDrqOehQqbFthpiYd21+ka7INfwAXYPO4Nr0dOwTIoF90sPlN/H+VxdnY2Vr64XHJcos+882Y09r3kzUVAdXZ06MqfIfY7yBNQ2mlJazwGo/pD3ola46H8pJ5cTxxkFA/tvacZBhJ5ukl7sbHKI+3rpsEoY6mgZyOeEhYHeT7R37xzZjK6jtIh7ek2JUytNVZXIqq0Bns3JiD2VgdYfhCDyIxcVFRWoJpzvpJRIxEaHCJ5usXGxEifeefNZPS7yJvLuKebnvyhB4mUP1J5TQk3xehao4ej5vSw+kLpoHh0pYXFQ3WH4FSraT0DebpRF0WtDZGlxWiPMWqJydGD7s3zzlFjFA/9GNr5kf7mnTOTGeOgFpSGbabGQ+e3tjbBJ64Ax5cFIfF2a1ieysQl1gV3dvCvUTIa0iQnJWH50qXIysyUPvPOm8koXTS2popD5aUnf2jvM8ofakW1xmM0AouGpJrTQ89yWDr0xEFG8VDvIvUMKnXN5gzzydOtqKsbB/dFInSRM6x/F4j4zBJDiDbN1pyBhgOzMWcgzdacQXi6cTR/7iaNIaa0FZv+Oxg+9zpjjWMBWrr0NRbibpKyxK1VGd0IGOh1MldYV0tqG+iDq0MKvH50Gs5LfXE0vR7j++9ol4BBWQIGGd0IGHp6upGeV4TMshpkNrbjwHvBiLnVHl9uTERCcSVGxtQt1ZaTgEFZAgYZ3QgYBkcGkBaWg0NbwrDlVDpcHvdC7I8dsc89HqXVFaz2CBjkJGDgaE4PkzCM2jNZ8HnkNCyWeiH4HhfsfTcIhwOT4ZVVhsoGlh6VcfEkYFCWgEFGNwKGPgZDjXcWqr59DOX/9wgyb7PDvpUB2Pb3KGzxLEF1M/0u7TDQayVfXrHi315zWiVgUJaAgSNTYbgy0odcl2S0/J9D6L5pD5q+dhBxCxxw9M8hCEooxfCIaUu2jaL7+UVFxUhJTsYrK19CRsZ56eGk1lvZAgZlCRg4MhWGms52ROwKxaX/fQBdN+1F7n8ehNs/ApB1rhw1tVXct3CrUX19PbZt3Ya33nwTP3/4Ifz9vfdga2MjQaJFAgZlCRg4MhWG/KYmuHx6Fi1f24+K/3UIfm8HIq+qGd39nazSVMruzzCTent74XLyJB568Ce47Tu34NFHFiMkOESq1FokYFCWgIEjU2HIqmzC8Tc9UPq1Q4h+zA25aexaJspcGudrhYFEa7+eefpp3HbLrXjl5Vd0/TYBg7IEDByZCkNeThPsnzyDtP9yRKrLeQwMDkrHab2LXhjoYd577/4VP7r3PmzfslXaS0CrBAzKEjBwZAoMIxhDlVc+/O93RMDmKFzpuVrRZgMGqsB2bJ7wxJLHEeDvL+W5VgkYlCVg4MgUGNoHexB3KBaRL/mgqLjBcHRcswEDKSoyEi889zxycnIMR7RJwKCsWYFhtjzdzA4GFappaIOVdQTSg/PYp8mZaIRhVCcM2dk5eO21VVJF1qPZgoF+5byEoUv0DNNkSs9QWH0JdsHJuNzTYThyVbPVM5DPyN49e6Rl7nokegZl6e4ZCgsKUVJSLN0TJzA0GUsAeTsZHUa456gxdi0tWShlRn9zz5nJDHGQJ5fx87RzDNZQX4es4jJEZOSNnzfxXPY3VTzyLKM7QkrxKBmt96cHbTExMVK6NOcz+34CvCA/XwJUa3roOoJT2vOOlZfmeAxGHmrkcKQ1HqovZSwdVH/0pIXyuYjVZUqPWk2CgdTEWmHaR41aY3Kw0GpSi86MF2aKUTxkvDC1ZkoclGbqSXi/n45Jv0tH3tC15NNNvYLx89Rz1JqUHpm0mmJSPPS7VOaRkpmS13I2G3HQbyKX2uZm2otbnabBICT0VZWAQUjIIAGDkJBBAgYhIYMEDEJCBgkYhIQMEjAICRkkYBASkgT8f3hWBvR1g7JDAAAAAElFTkSuQmCC)
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
Identify the number of solutions does this system of equations have
![](data:image/png;base64,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)
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
Solve the system of equations by graphing.
![open curly brackets table attributes columnalign left end attributes row cell 3 x minus y equals negative 4 end cell row cell 2 y equals 6 x plus 2 end cell end table close](data:image/png;base64,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)
An equation with no solution is one that is never true, regardless of which values we choose for the variables in the equation.
Solve the system of equations by graphing.
![open curly brackets table attributes columnalign left end attributes row cell 3 x minus y equals negative 4 end cell row cell 2 y equals 6 x plus 2 end cell end table close](data:image/png;base64,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)
An equation with no solution is one that is never true, regardless of which values we choose for the variables in the equation.
Find the solution.
![](data:image/png;base64,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)
Find the solution.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP0AAAEnCAYAAABi50UBAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAF4LSURBVHhe7Z0FWFxX2sfTNpUk7baNe9Km3m63K922W9/6St29qbdptDGIESSu1TgJECxCIK4Ed5gZxmcYbLDB3f/feS9DG7nAyOVbCOef530Cc88cjv2O3XPf2w9cXFx9Shx6Lq4+Jg49F1cfE4eei6uPiUPPxdXHxKHn4upj4tBzcfUxcei5uPqYOPRcXH1MHHourj4mDj0XVx8Th56Lq4+JQ8/F1cfEoefi6mOSHPrW1la0tLQI1iyRtccnxNncLBrGHjs3rqam5rbfJYxXiFsqY+lqZf+3xcnSKEE6KY7z0ipFnMzOi1NCOy/e7si/FNYdcTJrj4+4kkqSQ19VVYUiiwVFhYUoKiqSzAopPonitDArKCiANiMTCo1B+J1MLKxdVmhNp9g1J6wgPx/5eXnSxs3iovikTm93xEnWK9LZHqeU8VrjqqyslAx8yaEnmPR6PbJMJuRkZ0timSwurVYLo8GA3Jwc0TB2WVYWNFodDp2JQuCR48jMyoZZgnhNLJ0qpVL4X+y6I0b5jYqMRGx0LExGkyT5pzhMGRnQajTSlSmzbFauBlb3VFdi1x21rMxMoVwzWJpzJMo/5Z3SSWkWC2OvUZwZRqMQL5WtWBhHjPJOZZpnNvdc6PPZqESJra2pYVPnJkmMejkCn3o9sev2WkN9PWs8udgbHoUNJ88iNa8E9Q31bIomHt5Wq6yqhFqlQkV5ueh1R21PUBD2792HkuIS0euOWDlLI5VpcXGx6HVHrJ6VK81KqNNrbGwUDeOI1bC2pFGrJc0/5T03NxcNDQ2i1x2xktJSIe/lZWWi1x2xuro6AXjqVGiaL4W6BXozK0yqdKlUW1sr9MilJSXWT5wTFV4hS2dcSip+PHESc/cdgrG0Gs72o7V1tULjrKmutn4ijdauWYOffviBLZuKrJ84r2qWRipTgl8qUbnSMimLxSulGhobhBG0orzC+onzorxTByXlWrmCDU6U92q2xJVKtFdQyGbPxFSPh556UKlEPT1VUgkblaRQEyvIArZGNpqMOKSS4/WftmHFiQQGfo01hGOqqW0bkaSsdNJCVxe4zJsnLJukEu29UJmWsVFJKlEDpdkYNXwpYaJZGEFfXiZdB0V5p30SqUAilVdUCHmvYvBLJRrtqXPi0Dup9oLMY5WewKZNL/+0Ha/sisA+fTXKnEh2d0BfwRrSzGlT8cVnnyEqKuqiGRT9HhcTgznffw+3JYusn7bNjlatWIGzZ88KMF4oDj2HXjL1JuhptFfmWfDhzjA8tD0G7x4vRFhmI8rqrQHtVHdAn56ejo/e/wD/eeEF+Pn4XjTFpYZA6z2XuXPx1/vuQ7pCIXxO0H/37RSsXb1aFGwOPYdeMvUW6Cmd+WYz8suqsOJ4Eu7bnoTRvnl4+3gxjmfVouHiwbFLdQf0Ifv3478v/Av33nM3Fi9axBpAgfXK+YqJjsbDDzwI7+3bhd8pj7/+/DMOhYUJm6oXikPPoZdMvQf6POSxdNbVN2G/ogB/C8xE/6AyDPU349vTZsQX1KLRznYrNfRUyV4eHvjzH+/F6BEj8Oknn0ClVFmvni+6XfTqSy+z0f3b3xrH9q1bhVs+YuLQc+glU6+BnlU43Zunthmf24C/H8jBZaFV6LevDJMC8zAtohCJ+ZWoqbM9H1JC39zUDK1ai/ffeRfjRo/B+FFj8OarryHsQCiL/+K7A3SAY+qUKXjumWdRUlIi3Nc+cfy4sEsvJg49h14y9SboaS1MMpU14KF9Olx+oBSXHazFlQFV+KNvFuYdTscZpRYl5aU2FbiU0BPY/n678cG77+FPd9+Dxx5+BJ+xkf6njT/ClGGyhvpdtIZfs2q1EC4xMRE7vb2FxtKROPQcesnUG6EvrmnEW2F6DNqTyUb7avTf04Bx3jn41+YouAUfwfHISJRaLELYziQp9NVVOMjW46EHDuDjDz7EtCnfITgwEGdOn0JONs1QzoeKfj8YdhD33HkX5s2Zi9OnTnVaBxx6Dr1k6o3Ql9XUY8bBVIzfnYLLQ8tw+Z5GjPItxBv+cmw8mohjZyKRodezPHV+4EhK6Juam9g0vS2/SxYtwnKvZSimjofBRCcKW0SgksvkAvSTP/q4S5g59Bx6ydQboS+trsOskCjc5XMKVwXq0D+oHKP9C/D+MTNSLI2or6uFxVKEyurOD+9IvZHXrgUuLvBY6s7S0Plsw2Aw4N2330ESm953JQ49h14y9cqRvroeLgz6x7zDcO+uOEwKMmB8oBHPHTYh1FiBxmbbCtsZ6DuDpB162qzrSJSn0ydPYce27cLPXYlDz6GXTL1yTV9RhcX+IVgcehY/x2TgC7a+v3VnAm7aloRPQ1XQWWw7S+8I9PSQipp9h5526wiUjqCnMqbP6MmzuJhYbPr5F5sbHIeeQy+ZeiP05TV12BsjgzLLjMKqOmxNzMIjQbEY7JuIB/fKcUBfIjg06Er2Qk9gJCYk4LPJk+Hn62s39HRvftXKlZgxdRq2btosPI1oqzj0HHrJ1Buhb2LT98JSNo1naW5l/2JMRfjuhBpjgxMxLCgZXx9WwZjf9RNe9kJPwK1ZvRrPPf00fHbtsn56sTqCnhqDr48PAvz97X5ajkPPoZdMvRH6C1VU2YCtCdm4zy8RQ7wVeMhHjTBl13DYAz3twKempAgn7t596y2HRnpqBPS8tSNlzaHn0EumSwF6aq/RbLR/j63nJ+3KwPgtBsw8lg1jca01hLjsgT46KgrBgUGIi43F+++8I4zY9kLvjDj0HHrJRO6yyHtIaWmpcASUGpczRnGQdxdav5IHkWrWAYiFs9UoPqFyMjMF90tiYWqqq9h0vhg/xWTgMT8Dhm5S488+Snin5KKqohI1It+hwzTFxRaoVErh9t5FeWcNgYwqMT4+Hps3bYJGpUJCfALefO114Zx8VRWL+5z80c900m7O97OxZOEiZLI008bfefE6YJQ26kAyjBlCJy1VPdFjwNSR0qYk7S9IEW8VK9fS0hLBIxE5k5AqrdSeqA1UsjRLESfVFbV9um1K/0uVTlq2UUdCm7U9GnoN65XJrxf5CiOwnDGKg+KiSqfe3tk46ftGVuEUX7vftQst0/r/kRQNXvNPxISdKgz11mDyATXi0un7povS0Z5OerS1o7xT5VGj+PmHH7Fx/XphlKVTdK+8+BI2rF0PE4OwvTMSwrOfyfXYtClTMHf2bKQkJQlQnRunI9aeVioDnVYrmlZ7jeKgcqWZjjI9XYBKinjJqBOhctXrdJKllepeqH8Wt1RxUvpUVKYSpJMGTvpfrVYhLS1N+LlHT++psZaxkV6s93LEzh3pxa7ba0LvydJIFSN2nabnNNrnFJXjp3gjHtyvxZWBetzlK8PmSAMsZWx0uOA7ZJROAolcRl14rYr12rT+3u3nh3Vr1wrlRIqPi8Pbb7yJnTu8hVH83BGCfibXWwT8YhrpWUOg38+L10GjNFKZUjrErjtiNNJTJ0WQCjMbkTCOWGlZqVCu9Fix2HVH7NyRXuy6I1bAljbU8VnY/2LXbTWh/bGlYkFuHhKORSBy30kYU7VobZFmydQt0BOcNI2VSgQLNSbqSKQQ9Zjt66TORMtSTUkt/huagn5+yRjgr8SMiCwUNYgXfl19nTDSiT2/TqLe+/sZMzBvzhxEnD2LUydOCM+8v/Dsc8JnkRER1pDna6GrKzzdPYRORSrRdJTKlECVSrSOp84km8UrpRqbGoVZXiVbWkklyju1ASlVyWClvEvhI7G2rA7RgSdxYkUAEkLOIEefKdk+Cd/I60KVjc1YGafHmL1y9AvKwEMheQhKr0Jl3cUV0NVGHk1RabeewHdbvFj4+ZuvvsLDDz6E115+GRvWrUOTiENRvpHXhzbyWLFZ4owIXbADa9+aj9O/hCBDrUVevnRp5dB3oabWFmgsNXgt3Ih+/kZctyMP3xwtREbZxTOZrqCn6Tqt9+hADllKcjL8fHzw33/9G+5ubpDLZMLbbC4Uh75vQF+jKEThmkgk/fdH+P51Bg7O2YpsZQYKigqQl2vm0Dsje6An0Wm81YkmjPTX43LfIjwakov9miJU1J0/Kttzy65dBPobr74qrPU7Eof+0oW+ha3TK0xFKDhpgOmzfUgfuhBJI+ci/QNvVMTmoqm2EQWF3AW207IXelJyZjHeOZKDgf6lGO6XxUZ7JZTm8yvXEehpp3v2zFkICw3tEBQO/aUHfVNlHSqyLCg8rUP6/AOIe/xnaMYsh/LyaZD/1R2lvkloLW0UBhy6I8ahd1KOQN/U0IzNqSWYtDsPA7yz8eg+LfbpSlHd9LsHTUegpzsJdDKPyqwjcegvDegbWD7IlVml2oyCvXKoXA9A+Z8tUExaBeW1btAOckPM8HlI/mIL6nRmNg1obXtHQ0EbUxx6J+QI9KSU/Fq8E5aDYTtNGLcnB1Nj8yAr+H332xHobRGHvvdDT+WRk5uDwwcPI8ozGPJ3faG6cy1yrlqCkss8UXSlB1IGzMOpf66F/kASWqy+Gamt8mO4EshR6GtZlramFOAeXxUG+Zjw1/0G+LFeuwltoz2HnkPfGfRm9vfOnDiFKI89SH72V5huWIa6fisZhetRerknEke6QOEWgsaSWmEXn8Sh/x9DT0rKLcMb+zUY6mPEiGA9ZsRroCtrg7GWQ8+h7wD639QEVB43wPCyHzKuX47KfstQedkyZF3Dpvdsqm+J0lkDtolD3wOgL6tpwJbkfPxtbw6uD8jCAweSsStdK1yrs77AkkPPoe9IFepCmKaFQTlhA9SDlsM4cClk181C5Nh5yN4QLXQK54pD3wOgJ6WaK/BSsBo3bkvHhCAZZifokV9Vjzo20ms59Bz6DqCvyajAySlbcWb8QqRdtxSaiauR/sjPOPx3N/g96QLd0SRryN/Foe8h0BdXNuGHSDMe8VNjnI8aT+xXYwc9gcfSqddqOPQceusnv6vOUInY93fh2O1zcWbkNCROcEP21P3IDUnBaa9ghHh4I1t/8fsMOPQ9BHpqzyk5ZfgyVIvxW/UYsduEjyPMyCqtgJ41TnrMVkpx6Hsx9KwYqhRFSJvsh7iRCyC/di7OTpqDlCl+KE/OQVlxCeKORSI9OlWUGQ59D4GeVFJZj5+jCvGAbz4G+Vnwt9AsbE9Jh1KZjjqWXinFoe+l0LOoC5NNOPntFpy8fR6Ug+Yhfywb4b8LhCUhg5VXCxqaG1GYnYcqNmCIiUPfg6BvampFXEY1vj6Uh1HbTRjsp8G7YfGIT1eisY5D36ehr6lmDYSVcXwODN8EImLCfMQNmYOkmxajeEowmmNZ+TT+fqirlVysd1BeHPoeBD2ptLoRWxPy8Y9dKty4Q4n79mixIV4LbXEFmiR69pnEoe890OfkZKOK1X81axdZX+2DfrgbMq9YAuUYL6RN8UdZAlu3N9r+Nzn0PQx6OhedYKrEN4czMWanFsN3Z+LxvelYHW3CWWM5zCzdTa3O+xXg0PcO6CuqK5FpNMF8QgXDlBCkjndDClvDJ09YCu2nQShLzWFt7/cR3hZx6HsY9KTi6iasS7DgVm89rt9lwo270nFPUCKe3xOHn2MSkVOQR72DNbRj4tD3DugrK6qgDUlC2kf+SJrgibjrv8fpO1wRNW0HKpSOOezoNdCT55zGRumgJ0805OmEHlaQQs3N0kFfVN2CNbEW3LnNgBt8C3Dl3kJcvk+LK/1i8aTvIeyJixfu3zujdui7epedPeoO6FtaGPRFhUK89P4AqfQb9OXSefnpDuiLojOQ/JY3ZCOWI+1aN0TcthSx33jDonW8nVFb7fHQUwLJQSD5H8vNzRG8eDpjFAf5hqNKJ6eSuSzzYuFsNYovOzsLeq1OiNPRNOaZc5CRlY3ABCPeDlLiZm8DBgYU44qDtegfUoUrQoswyeck5ocdRppGi0LWwMTi6czMeWbhscqZ06Zh/py5kMlkgkdYsbD2GJUh+Qek04Pk083ZMiX7rVz1OiFeWttKVf/UltqdbUoVJ6WRnIKSeyun4szNRmFpEXKi9JB/4A/FUC+ornBD7JAlOPH2z0g7Eot8SyFy8+wvYyHvWZmCE1OCXqrZk/TQs0ZJhSk4HjRlCsA6YxQHxSVUkrUzEQtnq1F81OC1Wo0Qp6NpzGWVodEZsCk8Dc/7x2MUm9ZfGViI/vvrcGVwE67YV4/bfU7BJewgUpQq5LEOQiyezoxGI6rsGVOnYu7sOUhJThFmUWJh7TEqQ6PVG66BylQkjL3WXo5U9xTvuZ85Y+31T9BT45cqTkojdfrk+djhOLPY+r2YDXKRCsS+uwvJgz2hvcodqaO8kPT2dmgPJwvLO3JdLvr9LozSRW2VyrRHQ59vfeCf3uAiiBLqjDG1r+l/cwwpFs5WYyI/dPn550zvxcJ1ZUwtbA2ryS/DgrNKjNgRg2t8MnF1QA36BzUyq8effZOwNTIOlVXWaalYPJ2ZVQtc5sPDja3p2XpZkFhYe4yJ7iUL0/t2Z6Ni4ewxpvPW9O1TUbGw9hhTfX2ddU1vXYqIhbPHmCjv1IFSHQoSC9eZWVWbUQb9N2FQDF4H2dVeiBvrgfTPaJc+i4WzBhL7vi3GxDfyeuBGXm1DM/ZrzHhybzwmbEnDEO88XMnAv4JB/0xwNvYm5aLmArda9opv5PXAjTyWvWq5BeovQiC/fg00/VYjadQqxH+4E+ZwtWTuqjn0PRB6qtqsynr4yMz4dJ8Cj+xUYtTuQmHEf2h3JrbG5qO8xr7bNBeKQ9+zoG9takVVaiFUn+1B6shVSL96OdLHboBichC0YYkoL5Jmw5nEoe+B0JNohmipbECsMR/rTsnx3P4sDPUrwrhtRriezoahpNapvWwOfc+BnoCvjDdDP+UA0sesgPzqJUiY4AnN1APIOqGCyWASXsUllTj0PRT6djU01CJJpYHH2WzcF6DD6F0avBqaiSC1BRUNjk/xOfQ9A/rWxjbgdQx4xZiVUF+9FGmjPCH/0h8lKdkoLylDNp3I6+DRWkfEoe/h0NfX17DGqUaCsQBfHUrDTf4y3BKoxJTTemiKHL/HzKHvAdALZ+lzof8uBEkTliF9oDsD3otN8f1RlpglBKmo6vx5ekfEoe/h0JOPPL1WK7wqamt0PP6+LwnXBafgHyFpCJZlCa/nckQc+v8x9CxITXIBsr7Zg5SJbki6fj4SJnog9VM/lMnNbRs7TJ09T++oOPS9AHpqnPTyy1STGe+dysC1ITqM2B2Hb47GQevgBg+H/n8LfbXGAtPnwVCPIODnIvy2BYiavBXFsuzz9mo49H0UejrwU1tdjcbmFrilWTAqRI4/7DiJF4PicEpXzCrOGtgOcej/d9BX51Ti7NQd0I52R0Z/V0ROmIPwbzajMJ2APz+PHPo+DH37W0tPmGvx8UkdxgTGsLV9GmYeN0BTYH+D4ND/b6Cvz6xE8tRdOHbXXKgGzoduhBeUX/qjMCXDGuJ8cej7MPTtPvLK61uxVZaPP+6V40pfJe5mFqy1Pw8c+v9/6KuVhZBN2YmICTMRd+M0xE9cCO2XQSiPO+ek3QXi0HPoBcVkVODNY1kYuDcL1wZk4buTGcgqtK/xcuj/H6FnyS6S5yB2zm6cvG0WUq/9DtljF8D4bQAscRloaeoYPA49h15QQWkjfkguwM0hmbgsMBsPBGgRKrOeobdRHPr/H+hbm9kIn2SG9rsgRNy0ADFDvkfqxAUo/yoQDbEmNJ/j4kpMHHoOvaDm5lZEZ1rwcqgaQ32NGO+dgfkncpFfYX0gyQZx6LsfegF44bZcCAzD3WHqtxiyMe5I+8oPlbFsDd/Q9VFqDj2H/jfll9fgx9gcPLo7E8M26fCgrwoB6UUX7f52JA5990EvpJLxXJmcD+PUA5CNXwrZ1XMhH+0B7ceBKE7KQmODbS7POPQc+t/UxEb75JxqfLJXg7Fb5Bi2LR3fnMxCYW2LTdhz6LsHenoFNCWzOq0Quu9CkTjBHXF/mIVTt7kiesoOlKd1/PpwMXHoOfTnqbiKre2j9HgoSImBuw34W7AGe9loX9PFOpHEoe8G6LOzUGQpYsDnI2NKKGRjVyJp0EKET1qIqK+2IV8hfluuM3HoOfTnqbGxFfKCKrx9VIV+fjIM2p2Ob49qkVfT9YM4HHrpoTcX5kF3Rgb9F3ugHrZccHGVNNYLcV/4oCDRaA1ln/o09OSRhBIrlejMOjnGLJXIMSYVXntBSqm6+joBenLkKaY6VmfL4vQY4p+IfsF6PHowG8cyalHbRVEtdHWFp7vH756DJBB1pFSm5eXSgUSgW1jHRH7npFRjU6MAfUW5dDBlJegQ8e4OpAzxgvZKd8jHLkf6p/4oS3F8IKigjpTlvf1wlhSitkp+EXs89DSC0EMntbWsQUtgpaWlgq8wAlXsur1Goxw1ePIVJ3bdUSstKxV8r9GMROx6FWsMEYYC/PuYFv0CMjDYJx9fHy6APL+aXa+7KDx1dmTz5szBkkWLhQZFv18YzhGjNFKZFrKRWey6I1bN8keNM4PFS52KWBhHrKKiXOhMiwqLRK/bbKxTrmMz0ApTMVI/DUbSkFVQDPRC/OilSP1wF/KjdKzjrketg2VcZLEIeafOWey6I0ZtlWakPRp6coyp1WoFz7XUqKgQnDGKgxwiCo4MWbwmk0k0nK1G8RlZ2qgRkYmFcdT0LJ3pCoWQXrHrmUYDFGot5h2XY6iPDlf6FeLBPbnYnGiCTGsUnDSeW2bkUJE6p2lTpmDu7NlITk4Gea49N05H7NwyJWejUtUTedalMqV42z+7MJwjRvVF5arTaUWv22KmTJOQHvXpNES/vxNpN6yB9rK1SByxEjHvb0P6gViY9CxMlmPti9oleYFWSV2mLO80yyHopVoydQv0lNhi1utVstG+gk0fnTGKg6aMlHnKuLNx0vdpmUDeRsnLqlgYR41GTZVSKUzHxK7T364uL8EpZSZeCjNhUEAJRvnm4YswLaIM+agsr2D2e3haG9JUcc7332PxgoUwGTOEpcO5cTpilI7CgkJWpkbk5eU5XaZkFAc52aROijoUcmIpRbxk5O+fYKK00gxSLExnRo5JK4pZ/UQakPqxL1LGrEb6VasgH7Uemk/2IPe4AqVFJSxcpej3bTGqK9onoo6fZrtSlSm1VZo5C9D35Ok9JZBv5HWkVgZuAzalWDAxoBCDduXikSAlQjRsStgk3pPzjTznNvIEF1eJZhimH4Ri7Eo2pXdDzCh3yNgavjQyA811Xd9BsUV8955D36mS82rwYkguhuzMxoTATMxPzIeyWHwDiEPvBPTk8SYpXwA+ffwqqK/xQNpIT8S8twVZJ2QMeOnaKYeeQ9+pKutb8XNiEe7x0+J6vyw8FJoJX2UeGlsvrlgOvWPQ07tDq5LYlHtGGJJuWgHlADa6M+BVH+2Gem8civIKbT4VaYs49Bz6LpVirsCLe1QYvFOH4QE6zIrXw1RNEJ7fEDn0DkDP+KiRFSFz6l4k37wUyde5IHmcJ1I/8kGFzCxsiNL+k1QgkTj0HPouVVpdjw1xubh/bzYGB+Xg4YNp8E3XoKH5/Bv3HHr7oa/TliLzy31QjXFD4g1zcHaSK6I/2Izi1LY6z8nLFdoAh14Ccehth76lpRVpeZV4eT+b4ntrMDYwFTPj1LDUnf8EHofePugrcisQO90HhpEe0Pefh/AJsxH+1SYUpJmsIYDszM6daDgiDj2H3iaVVjdi+eks/GWXEmP8VHjukBpBCnrV9+87yhx626GvzypH8mw/HLtjLvRXuUA73AOyz3chL1FnDdEmyjuHXiJx6O2Dnp7ASzCV4/NQLW7arsU4Pz0+OmmC5ZwZPofeNuhrNEVIn7Eb4ROnI+bGaUgctwi6yYEoi8m8cJuEQy+lOPT2QU8qranHD5Fm3L8rG4N8C3HfwRyEmPJYh9BGPoe+a+gtmjwkzA/EqZunQzbwOxjHuELzlR8s0Ua0NF4MC4deQnHo7YeeRvtIfTU+P1iAMbuyhNH+kyOJKGCNncSh7xh6weNNWj6UM4Jw+lZXRA2ZCcU4F1R+HoC6mAw0d+AAg0MvoTj09kNPKqpqwLa4LDy1Iw63bJPhr3tUOFNUD3rj8UIOvSj0rayzrEktQs53B6Af6Q79ZQuQPMYNsi98UMOAR7048CQOvYTi0DsGfUtLMxJ02ZgeHI/7tqdgQmAGZseYYa5pwmKXBfDk0J8HPY3wlakFMM0Ig2KCO5T950E13BPajwJQGJ+Bxk6AJ3HoJRSH3jHoGSWwlFVhR2wGHtqZguF+CtwbmISj2ZVYMM8Vy9w59L9Bz6KuIhdXMw8h6Wari6tbXBD31Q6UxWW2helCHHoJxaF3EHom4iTBVIYP9ioxalcKhu1KhkucGZ/PnIdVXp4c+oo26OsUFmQw4FMnrkLCtQsQfpMrIr7YDHOKQbhuizj0EopD7zj0NIIVVjRhS1IhbmXA3+CXhj8Hp+DJGS5Yv34dyi19GHqtBpU1lajRlyJzygEoRy2H+sqlSBi3DNGTdyA/Xm8NbZs49BKKQ+8E9FYlFVTin/vUGOarwAg24v9x8c+Y+8MW6DLNaJaIpV4FfVMDdEY9LKpcKKfuh3z4Mmiv8oBspBfS3t8FS6JtU/pzxaGXUBx656EvqmnF5sRi3OevwzA/FUayUf+2H0IwKywJCeYa1HTyaiVb1Zugb2hshC4qHWmfB0M+fgPkgzyRMsoDqk92ozTefuBJHHoJ1Q59I6soqSQ19NQ4ezL0NJon5dbhsT0aDNilxtX7jLghWI2/eCdi+sEEnDKZGfjOQdUd0FOjbIdeMrF2XikvQjwDPG3wGmiuWIOUcSuR/rk/SqKMaHWwA2yHXsrOqTugp7baa6Cvr68XClQKI4eL7dCLXbfXqENqh17suqNWXVP9G/Ri1221itpGwSf+AwHpuCo4E1eE5uPK0AIM363FUzuisOxwPHR5FlbaF3/XVqOG2Q692HVHjEalduipgYqFscmEfyx3zaxzYsCrvwlB2vj1UF25GunD1kEzeR+KIgxoqm8bWETj6MLaoSeoxK47Yu3QV7KyFbvuiFFb7fHQ0zPK5BTTbDYLu81SGD37TE4xya+d2HV7jTomcuJI/szErjtqVDHK9HThf7HrtppMa8LMPQm4e2cKrtmXg/6hhbg8rBzX7bPgdp8ofOC9Hyfi0lBeWiL6fVuMOjwdK1NqpGLXHTGqe3LoSPGSv0CxMDZZsUXw4Zd9WgXll/sgG7MSims9EDfCC8nv+iAjJAUF2XkoKrGIf98GIyeW5COR0ix23RHLys4W7jLksLIVu+6IkV9AaqvUpqgTkELdAj15AyVPrpRQalzOGMVBnkbVbAQ1MkidjdPMjFxJUxqpgsTCOGrUKRH05Fpb7HpXZs5tS1+iQoMZQWdwr08EBu3TMOjN6B9WiSsY+OP8UvGOzyEcik9EMeu8xOLpyqgMyfMuzUqo4UtRT2TkFJM6UoqXfhYL06WZc5GTlQ3D0TTIPg1E2ugVUF/jjoQbFiPqzV+h2RsLc0Y2zHltjjBE4+jCKL9U9wS+w+m8wChOKst2T8BSlCnFQZ0ytVX6ucdCT6MoQUVrxgY2xadpvjNGcdALGQh88jLrbJz0fdojoEIlOMXCOGqUTqp08gordr0ro7SRWcqrEZiixxP+x3CjXwKuD8jCNSEV6HewFBMD9ZhzVAGVuQCNDQ2i8XRl9DfoXQLUSZGnYWfLtN3ITzuNTFRX5J9fLExn1tDA/q+tR3F8FlRTQ5A0gYD3QNpwd5x5dj2yj8lRV1WDhkaWbwfzTkb5pbxTG6hjaRYLY69RnOTvnjxBkwdbKcqU4qC2SsCT9eg1vdRvuKHGRD1yT3/DTW1drTDKSfGGk+yyGkzZdwb3+ZzFeB8Zm+YXo9/+ctzpn4EN0TkoqXbu7gjtk1CZ9rQ33NSrSpD1fShSb/VC6rULkDpuOZLf3oHEwDNsrezcBum5orxTG5BSFbRPwuJ1diP3XFFb7RVvuKEE8lt2zqmFAaQ0W+CnyMcjv4RiwPY0DAwpwSQfLb4PU0Gf79yue0+8ZVevLUPmlBAox7sh4fo5iJroitj3tyIvVg+tUY+KGul2xds38qQCicTv03PoJVEzq+dpS1fgDndfTAw2YsIOGV71S8FpnXOn83oa9GXmcqTOCoRxhCfUV8zGqQmzcfbzTchPNKIRTdAbdJ0+T2+vOPQSikMvLfQkz/lz8a7LSvx3nxp3+6rwdz85FkdmwlTi+DKiJ0Ffl12GxAWBOH7rHJiuWAD1sKVI/HQbchO0wvXGlqa2s/cceuunzolDL6G6C/pFLi5YsHQZPE6p8UCwEkO9U/BQkApB6Y6XR0+BvtZogXJOIE5PnI7oG6cjZfRi6D4MQGnM704sO3qe3hn1FOhbWJmJqcl6uI1D30ehJ885KzyXYU+KFq8fN+BaNtKPCtRg/tlcFJSJvxa7K/UE6EsNFqS4BOH0TdORNnAK1GNcoPjMF5ZIA1oafofhUoWebm/u8t6Jn3/6UbgXT0pMSMBOb28kJyUJv3Po+zD0y93dkWYqwAZ1NW4JZeAHa/BMsAohqWZrKPv0v4SeXuJTk16AtDnBOHH3AkQOng4tA75isj+qIo1oqjv/CPelCn10VBTmzZ6Dm8aPF0CnsnN3Wyq8sDQmOloIQ2XKoZdAvRF6r6XuKCgsRmJBLV45pMLQ3Vrc6pMB15O5KK+x//bo/wp6wcWVrAg50w9AO9YD6v4uSBizGMrJu9DAgEftxXm5lKf3dDvu1ZdextdffIG9wcGIj4uzXmkTH+n7MPTkLquspBgltY1YFZWJ+/0zMGJLBp7crcN+tQVN5EzPDv1PoGfAk8ebzNmHoJzgAe0VLtAN8YT6g93Ii9Z36OLqUoae5DpvPm69+WYEBwZaP/ldHPo+DD05xqR3/pPiMqsw+YAJozelY/Q2Bb45YUJhrfiGUEf6f4ee/VotK4Rh9mEk3eKB+Otn48zN85H4yQ6URWZYA4nrUofe3c0N/3r+OWG6f6E49H0cejrtRiqubsKacD3+tisNN/oa8GCQFkczylEr4t+9I/1/Q1+rLEbG3KNIuXkVEq53QfhNLjj76a8wJ3Xt8eZShp6OLU/59mvcd+8fcWB/iPXTttONJA59H4eenroiNTa2Ii6rFB8e1+KqABVuCEjHt4fUyKqoE67bov9P6OuNFcicFob0cSuhutodceO9EPH+ZphjddaHaDvXpQY93aajs/VU9idPnoSvjw+efeopeLp7CPVCZUjPLpA49Bx66ycM2sZmeMbpMHBnNC4L1uLhUD0izDVosLFddDv0VpibihqgnL4f6SNXQHO1B2TDPZHy1g4UxZvQauM+xKUGvUIux48bN2L92rXCk34E+LdffY0nHnkUXh4eOMU6Aj7Sc+gvgp6gisguwb+OatBvjwHD/M2YdaIYmiLbPBZ1K/TZbZ5zmgsboP3+CFLHr4N8kLvwtJzyIz+URBsvXvN3oksJesr3gZAQTP74Y/ixEb6dE7pl99Ybb2Df3r2CE452ceg59NZP2lTd0IQNcjOuC1ThCp88PBpsxjFTtU2jfbdBbylCNivXOmM59LOOQDFsA1T9VyN57HKkf+yL4rN6tNIDBXboUhvp6WlRegT33HAV7Lv0hB49UXquLinom5uaheei21/S2Jk49OLQkyIzLXhynwYDAiwYG5APl0gTVPmsMXUxknYL9KxRlhQVw3hSDs30MMjGM+AvX430Ieug/mQPisL1Hb5brjNdqht51A67+vuXBPQEbkJ8PE6fOgWjwcig7zojHPqOoS+rrMMP8QWYEFSEa30L8GiQAiHpBTjnFKuougX6phYUsKm7/ItgpI5dAcW1bP0+egW0H+1B6WkTmuvsB550KUJfz9bx5GXp6BG2/ElOFvwbiKl3QF9QIDjRILfFNN2rZAVBcCkUCkRFRsJ72zZ8P3MmVi5bDrlMZv1W52p3ZElxSSW6502noaRUY1Mj68gMgscTKbVowQJ4eXp1CKiyuBH/CS3A4F1mjN9twJLEAhgrO59p0e4xlWlHjc0RVSuK2JT+EGTjVgkurmSjPaH4bDfKY7NBXm0dVQv7R66oaqode85ATJT39nMPUqnG6jmIgLZF8bFxwjHcObNmITg4mA2GCVClqxg/rK2zjoOAb98nIaZ6LPTkt4xGO3JHRLuU+/fuFQCf/NHHeO7pZ/CPvz+ARx58CAtdF+BseDgMer3w4EFHRtcpHgpLDyOQ002xcLYaxadRaxAXE4uoqCjRMI6aQibH8WPHIE+TdZkvW4zioAcxvv36a8yaMVOYIVHjPzeM0aBHUroWM8PScauvETfuzsYDYVr8EJUOtUoDo153Xngyipc63KiIKKSmpDiVVp1BB126Btr9KZB9vQ9pt66BasBSpA32QNR/NiIu4CRLhxqGDMfrTZmuxInjx5Ga5Fxa243ioPYUHRklzCAkiZO1yxRWluEsXllqWpdxGli9HTtyFFO/nYJ/PPAAHnv4Ybz03//gqy++wIZ16xB64IBQN5mZWawOjYJrtx4LvZYBf+jgQWFnctWKFfjo/Q/wxCOP4e7b78CYESMxctgw3HLTTfj3Cy/g68+/YJn+Ft99802HNnXKFHzFwn3y4Yf44tNPMY39LhbOZmN/b8rX3+DzTz/DZ5Mni4dx0CidH733gfD/d990ni+bjKV12nff4YnHHsOTjz/O0vwppk+del6Yad+yMmKdwitT5mKc5x5c563FH3wUeOanPfjOdSErr4vTQWX69Rdf4tOPP2lLaxd10JFNYX97+swZWPaVK4L/uQQR4xcg6Q8LcepGV2wY/ylmvDgZU6d9h++mMhP5vq329RdfCeX65aefs9+lKVfaPf/048msQ237XTScHUbt8svPP8fHrJ1++RlLZxdxUh18+skneOrJJ3HTuPEYNWw4xo8Zgz/efTdeeOZZlraP4eXugd1+fqxzOMZmAMqeCz2NTDSNp570yKHDAvy//vwLVixbhk8ZZH/7859x26Rb8MqLL8J98VJs3rQJWzqzzZvx4w8/YOXy5UIPSL+LhrPDNv3yC9auXo01K1eKXnfUKJ2ebu7CPVix647aG6+9KtzOWbtmDbaK5H/br7/gly1b8bH3MdwTYMTgwGzcsfU4PlqzAT/+/BO2/Prr+d+hMmVppDLduH79+dfssG07tuNXlzXY/pdpOHnjd0gY+j3CJ8xHyH/XIPSXAGz13oYtW5yvr59/+gleSz2cSuuFtprV/drVa7DpwrJx1FiZ/mAt0x82bBAPc45t27JF2Kv5x98fxITRY/HPx58QBqPlXsuwbes2AfbDBw8JLMXGxECv1fVc6MkFtthamTaOaPrjvW07Fi9chJ9/+FHwZW+r2j2MSiXabCmXcBOrXeRwUWq5LV7MGtOKi27nXChZYS3eCjNhiF8mxu9Nh0uyDp2tLqlMm9ia0VE1V7Ug1/0kzBPXQH3VXJy5aR4Ov78RyYfaHguVUrm5OWix81ZfZ6K827rLbquaW1tRYofzVlrTL3JZyGyBcH+ePClXi+xb0N5Dj17T23LLzsIyERcbK2x62fL6K7573/Hu/bmqrG/CkpMZuGOHAiN8FfjXMTWOGYvQKPLqJ2d37+vzKhDnvgenJ81D9uULoRy+GNEf/4rU4wnILXDsGf+OdCnu3pML8pSkFMRGx6C8XGSD2nrH9ZK4ZUdqbmkWdiVbWlphy0lMDr1t0Dc1tyJSX47JIXpM8tbg1t1afHHMAHP1xR2rM9DX5ZZB7bIHJ2+diZjBM6EYvgSG9wNgOau3usDu4NFaB3UpQt/S2iIwQDMt8nzckS4Z6O2V1NCT6IUUUsZH+l9DTyqtqcfGqCzc752BG3bl4r7QbBzJLxca2LlyBHpqmlWmMqTNC8LZm2chbdB3kI2ZB/knO1EWbRICVFW3PTAipboTeik7J3sP59giDr1EkFKDp9t/9PyyUEkSQWoP9PSQBa3/6b1ndG+X0iH4SRNphPZA38xG+zPqCnwYmo/BfhaMCMzBVydSkVN5/hTSbuhZe6vSFCHRdQ+O/tkVEUOmwDhyHko/8kVFVAbqquuRw9bdCXFxQrkWFXadVlvVXdATTK0MJJqdSNG2OPQ9FHpq7Pv27BGeanr9lVfx0fvvY92aNcILN53t9W2FnjZlggIChCeq6E4C3eGgOxPffPUVTp88edGGpT3Q02hrLqvHmoRc3BxgEl6JdV9wKk7mlZ/Xn9gFPetI6OBNxryjSLxlJaJumIXjE6cj/cMtaInIQENFLRISE4QNx3fefAuvvfwKZs9kM4HUVElG0u6AnuCkzTyKd+a06di5Y4f1iuPi0PdA6GnT8PChQ1jo4sqgCxQebZwxdRr+fO+9wu64s2nuCnqaYsfHxwv3canTIY+n7e98o535Q2FheOShh7Dbz1eo7HbZBT1TE2scJ3T5eD1Eh1GBRgzZrcGieFYvlb+v7W2Gnq0KauSFyHA5Cvmk1VBe446k0W6I+ugXmE7LhJlJWlqq0HGG7NvP4PHG3O/n4IlHH8N7b78tvN/NWXUH9HSIjGZZdIvswb/dj92+vtYrjotD3wOhp5N4dGIuOytbOOpIaSVI//3883jlxZeEJ52cUVfQR5wNx1NPPIGPP/hQOMF1YSVS5T739NN4/LFHhNlAu+yFnmQurcdPcQX48+50DN4qx18DkhFqLPpttLcJepa8GjbC58w/BtXNa6AY6Ia4cZ5I/GQXCiN1rBNrQX1Tg3C6Mfz0GaHOCfLk5GS4zJ2H+//8F2G0d1bdAT0tqQL8A7Bi2XJWHx/AZ+dO6xXHxaHvgdDT2o0KkESbTXTbhM44z5szB888/ZTwuzPqDHqCjE6T3X7LLcIsQ0z04ks6Z3/v3XezDuKs9VPHoKe7IlEZZXgzIAkTtykwdFsiFkRns9G+bQZBaewUevb9Gk0JMlyPQTNxLbIud4dmlCdS3tmBojiT4NWWROVXkJf/261XeiEmPSIaHBSEv//lr+flw1F1B/T0wNfe4L1CXXw2+RPs8va2XnFcHPoeCD2tL8lomk07twQRgU5r6ynffnue8wJH1Bn05DiBjiLTWetalh8xEYA07b/njjsRduCA9VPHoCfR2v7H6Dz8jY32w73T8YivAnvS8tHc1Cp0MJ1BX51ThoRF+xB/2wqYrnCH8XovKF/eguIoeh7+93V6263XtsZIP9NIT89dhB4IwdP/fFJ4bbWzkhp6enCL9lAiIyKE++Qfvvceh94Z9WTo20UFSdBTg6cdczqDT88LXHhby151BD3FS6P8vXfdjSMHD1k/vViFbPbx7FNP4/ZJtwgPXLTLUeib2XCfnFeNR4NicZ13IsZuUWLZKTPKq5pRXV0l3D0Qg76xqAFJU/cgapInUq9dAvkQd6he80YpebzppOFRPik+emT0lx9/ZGleKsxwnJXU0G/bulU4Gk4dVExMNIfeWf1/QZ+RkYEF8+djoasrFi9cKGoLGSxrVq2CTqezfqtNVJAUF33us2sXFrA4pHhPe0fQJyUl4Z+PPY6X/vNfqFQq66cXS6lUCrMBmhafm2ZHoScV1TbALcaAu/elYeQuFf4TmIMDyhoUllSyespmIJ0PfVNBPbKnHIRqyErIBrghavwiJL3PpvTh55ehmGgWRdDv37cPX0z+VOhQpWioUkJPyw06bx8TFS20AzrbTndwfFk7cFYc+m6Gnm630KYcPXJ58sQJUTvBrtMUjo79nitqnHSLjh6ScGUdBz2uKoU6gt57+3bcceutmP7d1A53symPG9dvwG03T8Kc2bPPO2fvDPSNrKHIC6vxeqgcw3YkY5hvFqZF10KZW4787MzzoK/PKEfelKMoum4jci9fibjxnkj4aifywjVoETnKKyaCiJ7eO3b0qPUT5yUV9HQgix5qCdi9W7hzolaqsTdoD9549VWsW7NW2Mh1ZrbHoe/B03vS0SOH8Q1bP9MzAFKpI+g3/7oJkyZOZDMTlw4fmsnIMAqP0D7+8MNIVyjOq2BnoCfVNDZj1akE3OMXhSv25uCRYxYEJRmRadChqrqtgdZoS5Ax4whyBi1HRb/V0AxbC/kngciP0Nns4opug1HHRutlKSUV9OR59q3X38Dkjz7C1CnfCWn98L338eD99+P5Z58RdvCdmfFx6Hsw9OSUcM2q1TgYdv76mv6GLQ8AdaSOoD9z6rRwL/irzz/vENwtmzfh9ttuYR3Er9ZPfpez0JPvumS9Hh8eTsA1+40YvU+OBQdOISU5GRWlFWgwVEC34DCSxi+Gud9imG5YDs17e1BywojmWtvKo4SNogH+/sLsiW6HtYvW9DQrc2YElQp62rQlJxd7goKEQ1EE+TIPDzz3zNOY8s3XwknCrp5k7Ewc+h4KPaVtzerVcF/ijvDT4YJ3Eprq0S0cagTObDx1BH15eRk+/3QyW6v/BWcvuIVVz8qJ/u47b76JjRvWi7oEcxb61tYW4RDQmrNyTNgdj2Fbj+LF5euxYdMmhB86jthVe3D0bwsRd/23kN04D5p3fFFyhgFv44sxK9jo6M+mzLRUOnL4CFt2HRfKlWZR27duRaaTXl+k3sgjCR0RAyoxPl7YyAtkHZaz4tD3QOhpTffLTz/h+WeewUfvfYj33n4Hn33yibCRQ5556HiuM+nuCHoSbSDRIRDymBIaEoKkxMS2jmbXLpB/ATqK21GlOgt9u06kZ+Cp7YcxZLoXbn7+RTz2zD/x3ouvYd7f3sam4R/h+ISZiHl5HSwRerR08DLJC0WNkpw7vv7KK8La+KP3P8S7b70tTKHJaEO1o9uCtqo7oKf2RO2B9iDIIxE/keeEejL05NyDXgdMR0Y93d3h4bZU8MZCXnS2b9narYdzSLQjT0d/f9ywEUcPH4bvLh/s2LZNuBPRmaSCXp1dgHdXbsWQh1/A2LETMXH4SEwaMhaPDboLM4f/GyEfrEbOWVWnt+UuFC2HqEOjMty4YQO83D2FFzJSGVMHS7fvnG2s3QW98Bgw+59u11I6nVWfhp6OkDqzNr5QtM6ie8r2eCXpSjQllXJjkFRbVytATwdfpFQb9B4X3YWwV6fOhOOVVz7BvaPuxf1Db8GfRt2K20dPxG3DJuCFex/Bvi3O37aiDs/ZzulC0fsRCPoKMWcTDopgp7MaUqqCwU5HvDvq9B0R7YXQYNXjoaeNMuGYa1kpSkpLnDKKg3o68i5KxztpqigWzhYrZVbG4isutginxuhWHcVHf0OwC8LbY/R9yrtKqRQak1jeKf7f/5bVOvm7ZeVlwinB2bNmYaHLAmGmQKOIWNjOjP4GPefuscwdD0y4B/8YfCceHf5H/HXU7bh53ARMnDAeD/3jQWxYv0HYvaY9CLF4OjLKh1AvJcVspMsU6oo+F8r2grD2GqW9sLBAKFdq+PS7WDh7jOKgNFL90y1UahPOppPySumjeGkjU6p0WixFQlvt0dCTjzwa7ch0Wi10rId2ylgcFBdNv8iHmNNxsu/TqEGNiEySNJJZ00m326TKe3vDnDrlW+FR1bi4OKFDFQvboWk10Ot1wrPui+e64pnRf8VDQ+7AbaNuxp2jbsEdoyfg5vHj8NSTj2PTr5uEv0m3tkTj6szay1WlFOqKfpakbCletUYoV0nqn4zFQWmk+pcyneTqm+KVuu1Tvgl6KR5TJkk/0jPoyQ0VTXGb2BS/ka3tnTGKg3a0ye83HVOlHVexcLYaxVfHlgtmc64wxZMijWQUDy0ZqILowIsU8VJeqaJd5s3F0sVuyMtte+ZfLGxH1tTUiKaWJjTklSPg2/WYN/hF/PvaP2HY6FswdNxtGD9mHCbcNAmfT/kOxrwC4W86knb6Dr3kIT8/TxiZyCeAFGVAcdB0mRo/LcekipPSSO2U0ixFnFRuJcUlLN5MYYNQqnRSW6Xlco+f3lMCKdFSSer79FRBNAXvbT7yaOPJEVVnFUE51x+H/+aK9UM/wEeDH8efbrkfI+74Kwbf8wCGP/cyvvrZG0W1tu3YdyRqlMJba1ldSanu2sijNmDPpmVX6o6NPFrT8917CUQ7or0Rens3yOhQTqW+EPI5uxF122xEjpyGY2PmIuyl9di0cA0+mDMff5y6EONcNuLfW0JxLE1v/aZjogbaDr1UU1FSd0IvFUgkfsuOQy+ZHIKetY/q9CLkuByE7GZXJA+cgojxc5D2kR9Kj+uRqdZj27FwvLDzCEZuOYO7vNPgetyEascPpHHoOfQceqlkN/SsbdQoLchYcBzqm71g7D8P8sGLkPzOduSGq9Ha1IKGuhqkaAxYcEKOe/11GLPDhGf9jTihL0ODgy+V4NBz6K2fOC8OvR3QE/DpDPiFx5FypxfSB8xDyvAFkL+2HZZTejQ1tq3ba2urBQcXB1NN+PigGWM36zB+qwJTT2agoMaxMxYceg699RPnxaG3EXrGWa2hDNolRxF353IkXzcPyaOWIPG1LbBEGdDa+HujoWcM8nKyYcgpxNqITNy7LRnDd+nwYIAGZ3NqUN9kP7Qceg699RPnxaG3Dfr6rCpo5x5Gym2rkXztYkSPW4rIV39G/lndRRAK0OfmoNhSirPGYrx/SIXBQQYM8Vdh1jEDMkvtX9xz6Dn01k+cF4e+a+gbixkY3x+EbuQ6ZFy2FKlDlyLuTbaGj9CIvjaJoKfXT1UykCoamrEq0YSBO2NwRbAaDwYrEZVXRe7u7RKHnkNv/cR5ceg7h76hqJZN6Y9BdvMK5PRzE5xYqt7yQ+HJjt8KLEDPyrSyog2kU6YiPBaSin579RgWlI0lUaUwFNt3355Dz6G3fuK8OPQdQ1+bXQ7twmNIGuMBzbWLoBy8BLq3/FFyysgotAYSUTv07e6yimsbsFGej0F7NLjcNw8P+5txxFBj12jPoefQWz9xXhx6cehrjOXQ0aumRi6F8ipXpI5YgvS3/WA5oUdzF8/Dt0NPD4q0Kza3FA/uVeJq/wKM8c+HR7wZxpIamwHm0HPorZ84Lw79BdAznur05TC4HkfKOC+or1mE1FEM+Pd2w3LcgGaRV1NfKDHoiypqsDwyGxP2FOE6Pwue3JOOfXIzGs7Z9e9MHHoOvfUT58Whb4PeYs1/jbpEOHgjv2UZNFfOg2K0O+Tv+aLkpBHNVbbdYxeDnl6LI8urxrMhZtzgk4+xPhq4xeYiq6KB9TNdQ8yh59BbP3FelyL09Bw3PTlIz16T/7rO5OI6H0s9l8JSVIymjCoYFx1D2u3Lob1qPlSD3ZD2+g5YzmjRUmf7xpso9EwVDS3wiCrEHX4mDPbNxnMncrFHZ0FdY9eOLTn0HHrrJ87rUoKerpEjTnIlNX/OXMFBxqZffhXKTVSMNbfvF8DL1Q0ZpxTIXnoWKXcuR/qg+VCO8YD8bW+YT9jn4orUEfTEapK5Fi/t02DILiNG+mdgZlQGcqq69gbEoefQWz9xXpcS9ORm2d1tqfBqbC93D7z/zjvCu+vmsQ7g3EptbWxFiSIL2aGp2PzaImx+eRGi39vBgF8H5bWLoRi1FMmvbUP+6Y5vy3WmjqAnVdU3YfFpI+700+G63UY8c1yNgyxsQ3Pndcqh78PQd5ePPHJbLIWocbYXpJTqykceVSC5wCYPOFSBZOQCjDzxPvXEk+c9L1+fV4njM7Zg91/mIPDu7xE2aSFiRrgz4D2hHr0cqje2oeh4x6/I6krV1hdYir3cgXiNyqzAu4dzMDIoD+P2KDH9bDLMlZ0vWyg/lIcslicp1R0+8qg9URuQsnMiH3mUdyn3dKit9gofeTSC0uhMjVwKIz9xtP6l3Wux6/YaraGpEKnRi1131CqrKqFRqQQPOmLX6Q0wer1eKBtqbGQ0I/phwwY8eP/fhXfeUbjGygYUHUxH0KMuCB41E2dHLobuuuXIu2oNdFd5IuUfG5B7ME3oWJtbmi/6O7YYwU5lSnsLotdr6uF6Uoebdigw2EeB546l40yOpe1vioQnq6+vF0AiP/cUTiyMI0blRZ0peaYRu+6IUd7bZ6Ri1x0xeuEH5V3wnCRy3RGjttrjPeeQjzzqlcm/l8FgkMTIZxv5M1Ozihe7bq8ReOTWiuIUu26L0csZ6Sm1c40+o3iN7Hr7Z9QI6HP6jpb8prG8CL+zNAj+7thnXh6eePKxxyFXyIXvyE/G4+gH63HqrgVIGbYUGYNWofrytajrtxqqP3ji0NOrELPnFEx52Rely1Zr8+mmEtJ04bUMY1sZ7QxPwct+ybhppwp3B2sxeX8czqamI9eUcdF3yKQoVzGj+m/3uyd23RET2hOlk6VZ7LojRh0TvYRUyrZP7UXL4iXopZqVdAv05MfdwtZ21OPRmtEZozhonUiVQ1MyGkXFwtlqFB/tDZCPNIJOLIwtRkuNYotFmM4Kxn6mGY5CJhP+p9/br1FY+g6lnUwoFzYq0HvqKQ2r2Pp+6eIlLEwpKqvZrCZRg6gPfkTkuEUwDvBA5dU/oPmyjajqtxypwxfj0OvrWMeQjKq66vPSZKtRGmhGRmVKo8iF9US/V5SXsU6lCGsjDLh/pxZDdprwZ9907FPlCdPXCpHvUD5pBKVOj/J3YbyOGpUhQUovHRW7bq9RuijvmazzkiqdVKYEJkEqVqaOGMVBbTXbOivp2dN7mjaxqZ4g6p2cMaaLNvLEwtlqTORw8LeNPLEwNhg17GVeXvh+xgzMnjlT2IWfOX06vvr8C+F/+v179vm0KVOgkMsvjsMqervul+w7Qk9uvRdenmxG3PM/I+16dxT2X466q35Cy2U/oLjfUqjHL4N+dhiqDO0HdS6I1xZjqrxwI++c620jSqvQyE6ry/DeXjOG+RRhhL8ZMyM0yGEdAl0/9zskmvb/tpHX3kDPDeOIMdWxtnTeRp5YOHuM6aKNPLFw9hgTLZloZvfbq8nEwtljTNRWe8/uPUusVJJ897652ende9oIo9GH3tnWbnFxsQjZvx+x0dG/fUa358Q2y0gREWeFDoJeqtiuWk0J8txOQzluNTKv9ETGNR5IHOaJM+MX4sgd8xD37iaUHVED9Y6/EJLU2e79ucopbsDquHyMCzThmoAcPBqcgnBjofXq+SKffO3QS6n6xm7cvbfCJYW6Zff+nE3nng99H7xlR6LprS33zMlH+kIXV+za+ftbZeq0pchbfAoZt69F7pUeyLhhGVTPb8aOx+Zh4UtTsH3RBiSHRqDC4tzrt0i2Qt/U3Ipj+gI8fyANwwJUuMVbhmURWSiovLh++S07fp/e+onz6i3Q23oij9b7gbsDEMCs/TRerboEujmHIbtzORTXukA2fBHUr3ij9KQOa75ZjEWzF0CmVLA1fxWaWp0b5Um2Qk/KLq7BugQj/hKkwLBtSXhyVzIOqi9+xRaHnkNv/cR5XUrQU14OhBzA1k2bYcoywVJqQUakCqlT9yHmFk8kXTcXcaNcEPHyBlgiDYwkwM11EZYv9USpsJaWRvZA38TSEJNVhtfY1H7MVhlGbErCoshMlNSdfyKfQ8+ht37ivC4V6Glzc8f27Xjg/vvxxGOP4YvPPsOcD77Fr/+ci/Dx7kgbtAQJoxYj6qWNyD6V/htQri7zO3Wi4YjsgZ5kLqvHytNG/D0gEwN26/DwgXSE6ovQeI7nXA49h976ifO6lKAPCw3FogULhAdo5k6eiTmjXoP/oC8hG+gGxRAvpL22AzknldZvtKkrzzmOyF7oGxpbkZBTjedCdegXqMU1gSmYHaNHeT2Hvl0ceg5952JMWH5Ig+yuH6Aauoyt4T2heHU7LMc01gC/qydATyqpa8L8cBOGBcjRLzgRzxzT4nRWNepYeZI49Bx66yfO61KDvj6/CpnuEUgdvR7KASuQPNID8nd2ougEA77p4ortKdDTXcLUnHr8+3A6LtsdgZGBckyPKERmRRv0LRx6Dr1UupSgr8ushHHRKaSNXgdNv9WQDWX29i4UHlOhuVb8bENPgZ5U29gCt0g5xvmdRv9gDR4+VozDhnIGZqNwq5JDz6GXRJcE9IyB+owK6BccR/JNa5B+zQrIh6yB5o1AFB3VoaHaeoJRRD0J+haWjxiNGu+FRGPAvnyM2F8Al+Pp0Be0xVNUxKHn0EugXg89a/+12hKY3E4i+a61SBmwGElsSk8jPAHfLHLQ5Vz1JOhbW1vYdyuwIcqI0XvycbV/Ll4NVuC0sQy1bGliYdBTvBx6acSh743QC8CXIqMd+GsWI2W4B1LoRRTH0tFY3XU59STo2xWeUYmnQ/NxXUAW/hKUjlXRJqgsFShmaeTQc+idVm+Gns7SZy49ifi7VyJ1wBI2pfeA/OVtKDyqEt4ea4t6IvRlta1YE5uHO/3SMdpfhf8c1GKPpgD5hRbkcOitnzgvDn1Ph76OQa/VCPCTaA1vXnIMaXd5IfG6uZCNcoPqFXp7rA6tdrwOuidCT4rV5+HFPekYFmDAXft0WJJQgFQDq//sbA69ROLQ93DoyXOOPFWG6uJy1OdVIWfxCWhv8oJ80DzhaG3yf36E5ajSLuBJPRX6Ygbh8thM3LQ/EzfuUuN5fxl+PCWHLkPip+w49Bx6Z9Ut0Ne2IC9Kj1OuO5H18ylEfrsNqfRuucvdkTZ0IeJe+hn5J9RoscGV9IXqqdDTLboTORV48Eg+bgjIwSSfNPzLOxwbTyWhtE46mDj0HHqnJSX0VBHmVAPCXX1w8N/Lcfzvbki+fw0Sb/FCxgAPmK7zgurVHcg/rkSLnSN8u3oq9CRTZSNmRhVjUrAZw4JNGO+nwgO+ifhwXypWnVDAUtXxrUhbxaHvBdDnsQRK7Q2XKqlHesOtbIBh60ns/tP3ODJ0NmRD3WEY6IHCa1Yga+gKaF/ZCcthFas9xytsoasrPN09hEdypRI5ASH3Yx05+LBVOVWtWBRXjtuCcnF1cB6u3peH6/wyMXaHDM/sjIYi13lQe5U3XNZOOzucZa+orfZ4b7jkI48cP1IvWsQaKY1OThmLg3yjkXNE8mtHDV80nB3WnkbykyZ23RazFFuQb86D7kQSor7cjrAJLki9YSlyBixDzWWr0NBvNZJGuOPsND+Y5HoUV5SKxtOZUV5LWEc3a8YMzJ87DyqVSvC4KhbWHqN4aZajYyBRI3WoTNl3SgsLEK7OwXuHMjHSNxNXBFtweVgF+u+vwFD/fDywMwUbz6ihMZmtfgRF4rHB6C1A5KWI3IWLXbfXKL+C80pW/4WFhaJh7DWKk9JHPvKobMXCOGI0iJIfRYJeqg6qW6Anr6hZpkzBV14OKwBnjOIgD7HU01MlUebFwtlqVCE0a6BOhOIUC2OLmfPNyNRnIHHXSRx58weEj2dT+UErUH35KrT2W4vmfmsQNmom/Gb+CKUsHflFBaLxdGbkYJFGo+lTp2LubDaLSEsTGoJYWHuMyjCDPPeq1YKvP0fL1JKbhbAkLZ4LTMP1OxS4Kjgflx+qRf/QGlzvZ8HdO+WYti8BUYo2EMy54vF0ZeSNiLzhksNVikcsjD1G+aVbq1T/1BakipPKVMPizMgwSRInxZGVmfVbu++x0FPPlJ2VjcqKSsErTB2bmjtlLI5SNrqZWEESAE7Hyb5P06+2As0UD2OD0TqzrpStiwOTEf36FiSM8kTe1WtQf9kaNLJRvrbfCoTcOhPBG7yRV5gv7HGIxdOZ1bO00uO48+fOhdviJcKUtNGBeC4yFi/tj9AIQmflHS3TxvpaxGcX4839aRizOQrX+2pxzd5qXLW3Hn/wLcI9fgpsis1AjqWc/Q32HTKReLqyysoKAVJLkcXhtJ5nLA7KO5UnvZhEqjhptKd4qWylipP2XqitEvQ9e01vZmv6JqnfcCPhmp4VnhRr+nptKTIXHkfyPeuh+IMn9AO8oGfred21XsgauQZxb2+C7HQc6pqc28z6bU0v0UYmSbI1fXUDVsQa8IxfLG7floIbfPNxZUAFrvLNwz3BSiTmsfWtkwNUd67ppVR3vOGGQO8Vb7ihBF7qu/e1pnLoPU8h6Y+roRiwCOoblyFuogcO3uyCAw95QvW5P/L3pqKqoIxNy5yrrJ68e1/f3AK5pQLr4014PTgNt/ooMDDIjH6BuZiwV4vYojrhIR1nxHfve8Hu/aUOfWNuLTKWhSP2j6uQMHAe5EMXQ/XcZqjXncBJj92I330SJUkGNJW1ncxzVj0ZehItNTMr6hCmy4PLCQUe3mfANfvycKO/Ae4xucgu7/xV3F2JQ8+hd1rOQN9QyID3PI3UO1ch+RoXJI1yQ9pr21FwRIG6lgbosjLY6Cdd3kk9Hfrf1QxdZg5cD6diiF86Bvnq8A+fNJzOLHdqhs+h59A7LUehbyitZVP600gYtxTqa9gIP2IJZG94o9j6uuja+lpoNGq2XpZuTUfqNdCzRkmv+toZk4a/+UVhaKABN+1Ox6okM3KqHG8PHHoOvdNyBPr60hrovRjwYz0Y8AuhGuMG9ZveKDyqRmtjW2V06kTDCfUW6KlR0r34BKUGa2JMmBCowA2+MjwdnIww8pzrYJvl0HPonZa90Dfm1UK35BiSxy+D+qqFSB2xAClvbEbhISWaa36/S8Ghb3OXlZlhQry5BA/uiceAXSrcHqjF6uRC5FY2OnSvmUPPoXdaNkPP2md9VhX0i05APnEtjJctgnboUqje2on8Qwo0XnCuvK9DL3jDZWnMzabXXtVgaYwBY/0zcb1PFv4VosL+9DzUNbQ50bRHHHoOvdOyFfpafSkyvcIhv3MdA94Nxms9oH3FB4UHtWiquPjeO4e+zRsuOdGgn1MKq/FsqBmDd2Xijh0KeEVkIrfc/jMLHHoOvdPqEno2wtfqy2DyPAPFXethvMINGYM8oHlpBwoOnz+lP1cc+jboKV5STVMrFkQU4FbfbIzZmYUPD+XgqLEUNY32jfYceg690+oK+vYRXnbPKhj7L4ZxkCfUL2xjIzwDvpPn4Tn0v/u9bz+GF5lZi+cO5OMGXwsmBuViblQmsiuqhWu2ikPPoXdaHUJvXcMbVp5G0n0roLl6PvRDlkL2780oOKZGc33nIxSH/uKXXdQ0tsI1ohBjg4twhX8Bnj6mw0mzGc2tto/2HHoOvdPqCPqmwlrkuJ1E2t0rIBs4D+phS6B4/ifkH03vdIRvF4f+YuhJEaYa/PdEHq7aX4YxIQbMj0pFdpnt79jn0HPonZYY9E3VLUhYcQDq25bD0N8FKUNckPTfX1BwVGWziytHoKe8pSYnIy01tcPbWb0d+lo22s9OKsT1wdm4xk+JZw+nICI7XzjMY4s49Bx6p/Ub9Llt0LdWNkOz+ggO3+8K5YB5MFzrBsXLW5B7SI6WZnEQxeQI9AkJCXj3nbfgv3u39ZOL1duhJ4Woy/FCaCZG+Ktw5z4V3GPSkVdm21OTHHoOvdMSoC/IZ1aApvwaGFYdQcRdcxE1ZCpiRs2D8qVtKApTotVOJ5b2Ql/KgFvm6YlnnvonfHbtumRHelJBaT3Wx+TgL34aDPPW4R/7lTiWZ9sUn0PPoXda1DgLigqgTpRDvu44Tv1pHpKumwLDkDmQv7UJuQdlaKqxP/32QF/M8hIVGYl1q1fj4w8+gJ+v7yUNfSv7d0pjwVuB5C7bgmuDSjEnKReFVV2DzKHvBdALTjQkdowppRMN2qU3JxkQPdsPp/6yBGdHzULqiLkoe3U76ui2XLVjaa+tqxWgJ28sXSni7FmE7N+P2JgYvP/OOwL0Hel3Jxo9zzHmuaJGSb7wyJGEmLKLG7EqyoJJAQW4zN+Cf+xV46Q+z3q1Y3WLEw0GJ8Ekpfq0Ew3BXRbLeH19vSRWxnp4cpdFmRe7brM1NQhglsjzoJl/CMk3e0ExYAEShy9E/Is/onhfChqKKlgjaxT/vtXIjRH1wBeqqalRGEHIpdW5orCC+yRmJIVCga2bNwtOFJOTk/HOm29ip7e3cJ1mSO1/h34mI6eYbouWIDenrTM9Ny2OGjnYFNxlMUjFrjti1DmTXz+Kl/Jy4fWq6locUufihYAkDPFW4uZdBiw7bYaltAoNrF4uDN9ulQwm6kzpCT6x644Y+V2kjVxKs9h1R4w8G7W5yyoRve6IUedMwPdo6H9zjJmZKSSUHFs6YxRHpilT6OkFJ46sUYmF69LycgVfdVmxGshnhiDltuWQD3JFyjB3xD6zEcm7TiJLlwGzsMEn8v1zjEYIpVIpjNQB/v4IDAhAEDN/Pz9s37pN+J9+D2TXdrOf5TKZ4HWVjBrbTxt/EMJRJR49egSvvfIqfvnpJyFu8vza/nfoZ+roZkydhrnfz4EsTSZA2n7dUaMypHQQSOQV2OEyvcDImSM5caS6Ehw7nnON6rEgz4y4dDXm7o/BX3ekYNRWDZ7YKYdvjPq3hn3ud9qNOlJyjElASZFWioMcWJJH3AvT6ahRnOS4k8qUBiip2j7lvcc7xmx3L02+76nBSmHUI7e7wKY1o1iYTq2wAEVsapyTbIRyfihSb2HAD5iL2LGuCH9jA7Qh8Qx2MwotReLfv8DK2To4OSkJy72WwWXuXLjOny8YObCc9t13mD9nTttn8+ZhzvffC1P4CrbeI2BpRN/86yYhHhJde9s60tOygKbH7X+HwtPoNnP6dCFu6mhoL6D9uqNGZUhTe2r0DpepiNEsjzzC0gxG7HoRq4es3ByEJOvxpn8yxm5NxZBNCZhyJB16c8f5otkDucCm9bLQeYqEsccov5R3GpyoAxcLY6+172UIHQkrW7Ewjhh1/FSmPRr69o28nvayi6acGuQui0D6PeuQfrULUga7IvLf62A8kWIN4bzIGSj1yuTBVkzUGX73zbeYN2cuIiMicDY8HNu2bMW/n3teWLfHx8WJTuHaNvKkf9kFlWm3rOlZvJ0pr6IBHse1uNcvDdf5puDZEAVOZVSgsQNnet2xpqe8FzCgpAKJ1F0vu+C79w6owVKLnGWnoLtpDXT9PSEb4YWzT62DzPu0NYQ0qquvExpnLUuvmGiaP5VB/+Rjj+H5p5/Bc8wef+QR3HPHnfjTPffg4w8+FNZxF+pS2L0/V/UNLYgwVOG1QxoMDIzDiJ2RmHs8HcV14kdz+e49h94uNVbXQb8qDLJJS5Dd3wOaIauQ8NJmpPiehrnAbA0ljbq6ZUcgEBg0C2rfpIuLjcXbb7wB7x07OiyzSw16Ull9E2aFK3H9znBc7xfBOgA54goa0ChyGIpDz6G3WXSvXbc6DPJb3ZDR3xWa6z2heTkA+YeUMOfkCut4KeXIibzUlBS8+dpr8PXxsX5ysS5F6BtbmnE8sxSvH0zDiB3huNVHhnmRFphK2w5E1Tc3Mdjb2hCHnkNvk5qLGPAex6G4xQuZVy6A6g+LoXjRG5aDWtRX1AiHcy56ys5JOQI9nbmf/PHHwh2AjkC5FKEnVTQ0Y320HrdtjcFAPzUeP1qAo1kNMJbUIEaTCbnBIDR0mhlx6Dn0v6m1qYWt2avQVFlr/YSt4XOqkOtxGsaJG5DTzwO665ZB+aIfCkJUaK5sRHNrs1DhPQF62vQjUAjCjnSpQk86pcrBi0FyDAzOxU1HCjArJh8Ljquw+EA4jrBZEL2NiM4/cOg59L+puaoOJYdkqIzKYKVei7qMchjXnkXaPSthusIT+mvXQMWAL9yvQpPVVVMTmzr2FOht0aUMfTnrrFfH5mPEniJcE1aB2/bk44Gtqfhk+0EERady6Dn0F0PfWFQNvXsYjCuOoPRQGgyrTuLUg6sRdeNCpAxxh+plXxSGqdF0jt91KkgO/f8O+pbWFlan1cg2maA3ZsErMRuD9xhwWWgZrtpXiYm+mXhzVzQCImUsTg49h/4C1emLof3ID/InNkL20hZEP7AOJ2/zQPhNHoh4biNyQtloUXf+mYHeAH1zS6tw/JQAWei6AF4ensLBJwKLytbWkbQj/S+hb2WNt6SkGOFnz2KVfxheDAzHsD0yXB5agssO1mLQ3hI8vlMJnxidMNI3N7Xdp+fQc+iFRpZ/Qg39czugGuoF9fUrkHLdCsTduRon3v4FhiOpaKi9+D1qvQH6Wpbu+Ng44TTW99NnYaGLK1LYGteoNwqHSlpY3p3R/3R6z65R+yjIz4P34XC8+PMB3O6TiIH789DvYB3676/EH3cZseGMhi3Fmlm8fKTn0FtVkV+K8Dk7kXarF/KuWobKfqtR0v9H6B7fCtMRGdrH9wubX2+AnuKgc/10eu+xhx7GC888iynffIs1q9YI59B780h/rorLKhAcp8Wbfom4dbcWV4dWo39IJe7w0WPpKS3qBej5SM+hZ2ptZIVxOA2nH1kB3YDFaOi3iuVmLRou2wD9HWsR9e02HPtlN0xaHS4sqt4AfVNjI9IVCvznhX9h5NBhGD96DP752BPYuGEj8lgZO6ueAj2prrEFoalZeC1QjhHBuRgYWIC7fdOx5IwRZQ2trL449Bx6pvrsUsje2Qb5OBrl3VF8hTvyLneDdsAixE10xfGnl+KQ+xaYdPpeOdK3a9a06bht0iSMGDIU7775jvAoLjmkcFY9CXpSfUMjfFKz8USwDGO2puD2nXGYdUIPZR49atwAnZZD36ehry+vQcaWKESPWgL5wPlQDJyHuKEuSPr7Ksg/8oZ6ZRgqz6rRXFYrikdvgn7rli14/NFHcPukWzB71iyhUUmhngY9qaSuET8kGvGU31ncuv0w3gxTIEBuQWVNHQw6Dn3fhL6kRBjlciKVOP3CWsgGL4TxBlek/Wkl0j72Q+aOKNQoCtBUXgvQO9M6aHe9CfroyCi8+epr+Nezzwvn80tLbXcd3Zl6IvSk7MoGrE3Q4unAU7g/MAbzojNRUl0Hk17Loe9r0JOzg9KyElTml+LMskDsvGcq0iYtQvHzv6JobQzq0grQUFrNWl7Xja03QZ+Xa8a3X3yNzz75FGfPhIs+heeIeir0JENpLbziDHjEPxqfH5LDXFyGDB2DXsLHgDn0Eqq7oM815yIvKxdJIWex6u35+PHleVAtCERNaDqazDWsxVkD26DeBD1t6M2dPRuzZsyAUuH8rn27ejL0VJWy/DKsO5YMt70nkKbWQaNSCY5IpBKHXkJ1B/TkRENvNCDi8Bn84rkeKxd5IflIDEpNBWipt/9+dW+CnkROMelwTm52rvUT59WToSc1NNRDodHDP+wQDodHIk0ml7RcOfQSqjugr2DTutjIaHhv3oYdP2yG4lQKaxXWiw6ot0G/Y9sO+Hj7oqxUOkB7OvQsAgGi6ORU7NgbgviExN4BfWZm34OeEkh+18iXW2VlhTAlc8aoojNMGTi2h/X42/dBl5yOyooq4YhqhQPxU5rI7RalkRwtioVxxCheavDky4188jmStguN4qQGdPzoMZw8fpKVbYEAq1hYe4zipCO9BoNB8MEmRT1RHGWlpUKjJwemtP52Jl6hftn/elZH/qGHEBOTgEKWf6nSSmmkNlBWXiZJnFSmVJbky5F820mVTtq4zc7OFhxv9ljoyZEj+Ylrdzyo1zln1DCV6UrERsUiJT5JqCwjm+o7HLfwPZ2QPiGNYmEcMWu8WiFOnSR5pzioLNMVSqTLFUJ66XfRsHZYWxxtZSBlWi8qV2fiZd9tb0eyNAUUsnThgI5Uaf09ndLkvzvLtM2tdrFk+zmSQ09PRTU2NKKhvkFSowMa5I9ecDV1wTW7jS09GiiNUqeTxdfmCkvaeBsbmwSjeIVykMLa8y9lWrujXFlc7XkXve6oSZ1OsvY4pYyXlSnln7iSSpJDz8XF1bPFoefi6mPi0HNx9TFx6Lm4+pg49FxcfUwcei6uPiYOPRdXHxOHnourj4lDz8XVx8Sh5+LqY+LQc3H1MXHoubj6mDj0XFx9TBx6Lq4+Jg49F1cfE4eei6uPiUPPxdXHxKHn4upj4tBzcfUxcei5uPqYOPRcXH1MHHourj4mDj0XVx8Th56Lq4+JQ8/F1cfEoefi6mPi0HNx9TFx6Lm4+pg49FxcfUwcei6uPiYOPRdXHxOHnourj4lDz8XVx8Sh5+LqY+LQc3H1MXHoubj6mDj0XFx9TBx6Lq4+Jg49F1cfE4eei6uPiUPPxdXHxKHn4upj4tBzcfUxcei5uPqYOPRcXH1MHHourj4mDj0XVx8Th56Lq4+JQ8/F1cfEoefi6mPi0HNx9TFx6Lm4+pg49FxcfUwcei6uPiYOPRdXHxOHnourj4lDz8XVx8Sh5+LqY+LQc3H1MXHoubj6mDj0XFx9TBx6Lq4+Jg49F1cfE4eei6tPCfg/lzd8FQ9ah9QAAAAASUVORK5CYII=)
One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes and running shoes are on display?
One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes and running shoes are on display?
A drummer and guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs. Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?
A drummer and guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs. Which system of equations models this situation if the drummer wrote d songs and the guitarist wrote g songs?
There are 31 members on the bowling team. There are 3 more girls than twice the number of boys. Which of the following system of equations can be used to find the number of boys, b and the number of girls, g?
There are 31 members on the bowling team. There are 3 more girls than twice the number of boys. Which of the following system of equations can be used to find the number of boys, b and the number of girls, g?
If m=3 and b=6, find the correct slope intercept equation.
If m=3 and b=6, find the correct slope intercept equation.
The length, L , of a rectangle is 8 ft more than 6 times the width,W . The perimeter is 156 ft. Which system of equations best expresses this relationship?
The length, L , of a rectangle is 8 ft more than 6 times the width,W . The perimeter is 156 ft. Which system of equations best expresses this relationship?
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
Determine the slope and y-intercept.
![y space equals space 3 over 2 x space plus space 3](data:image/png;base64,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)
Determine the slope and y-intercept.
![y space equals space 3 over 2 x space plus space 3](data:image/png;base64,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)
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which system of equations could be used to determine the cost of the coffee, c and doughnuts, d?
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which system of equations could be used to determine the cost of the coffee, c and doughnuts, d?
Find the solution to the system.
y = x-6
y = -3x + 2
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)
Find the solution to the system.
y = x-6
y = -3x + 2
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)
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which system of equations can be used to determine s, the number of senior citizen tickets sold and c, the number of children tickets sold?
So here we used the concept of system of equations in two variable. Here in the question the variable quantity was 2 so two variables are there. So the system of equations are: 3s + 1c = 38, 3s + 2c = 52
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which system of equations can be used to determine s, the number of senior citizen tickets sold and c, the number of children tickets sold?
So here we used the concept of system of equations in two variable. Here in the question the variable quantity was 2 so two variables are there. So the system of equations are: 3s + 1c = 38, 3s + 2c = 52