Question
Solve the following system of linear equations: 2x - 4y = 6 , x - 3y = 12
Hint:
find y by eliminating x and find x by substituting y in the equations .
The correct answer is: x = -15 ; y = -9
Ans :- x = -15 ; y = -9
Explanation :-
2x - 4y = 6 — eq 1
x - 3y = 12 — eq 2
Step 1 :- find y by eliminating x
Eliminating x by subtracting e2q 2- eq1 then
![2 left parenthesis x minus 3 y right parenthesis minus left parenthesis 2 x minus 4 y right parenthesis equals 2 left parenthesis 12 right parenthesis minus 6](data:image/png;base64,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)
![not stretchy rightwards double arrow 2 x minus 2 x minus 6 y plus 4 y equals 24 minus 6 not stretchy rightwards double arrow negative 2 y equals 18](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATQAAAAPCAYAAABqSzNFAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAA9dJREFUeNrtWlGEFVEYHtd1JVdkrbV6WFZWVq5IslayrCRZiawkySVJsg+9JT1kWck+pJeV+5CVSFZWEknWSpaVlaxED0l6z1rXitv/u99lTGdmzsyc88+53fn4mJmd2fnu+c5//nP+M55nB+PE58TfxB3iBvGClz9c1dXBEeIz6GsSl4nHHdB1mtjqQt8kdLvqWTfGwQjxNvSEYTfxAXEL7f2auM+2sBXieWIV56PE97iWJ1zVxbiCYBjB+R50stWcdXFbbeY8oKXxTUK3q551axwsok2jPGsQZ4llYoU4R1zLQ+wQ8ZOD5rqgizvUusB70gT3ArGe84CWxjfbuqU868X4jPKsGTgvYZaZCjeRhdKiqbhWxygbxF38TQJ561rQzI6cnaYV12eQtUwPaLw0eRvxbFY9NnzT0S3pmVRs2WjPvPyN8mzLN7PsDGg/0r7oFvE7OkxSjGFaq8JH4oDv/DLxoZCJLuj6QhzUuO8S8Z6ipvCV2Gd4QKsgYw9FPJtUT0uDWX3T0S3pmURs2YqDvPyNuo/rZzcCuu/H/TMdzmJ01MEurHPDzDpJnMfxpC+72oYrupqowywRtzGFXvf+LdSe8toFaD/ueO1CquklJ89Or8c8m1WPDd90dEt6Zju2bLZnXv5GeVZDWzO5FviLeCzrCxt46RONe/cSXxBPxNz3xmvvDm1ozDZMZAKXdLUwG+QOVEZnHkcmvOa7j9//2XfeT/yGDmlST02RrVX3JtVjAlG+6eqW9MxmbNmOgzz8jfJsCO0yiJk44zA01bJmkTmNLDKMxtqv8SNmMOrWBDKSa7p4+1y19XyI+DNwbdt3PA99JjKfH2uKtgl7NomerAEY51sS3ZKe2YgtqTiQ9DfOs6WQOJwgvrO9zj9AfIQ1dxw638Vwg9neOnZR16uIDhzcwVlFRxxGZipZGNCSdMosekz7Zqo+Z9ozF2tounEg5a9OP23GlAASg3diqhr3DWDtXdbMEsto2CrqEH2WGspVXbxEmQ7pdMFvbB4TpzD1vmiwNpH22Sx6bPhm8jeb8sxkbEm3p4S/up5thswmR1FLs4aXMDYO/ch0/oGCv+5e7DFdXA/gAmfd18mOeu3duknFErjhpftmyMaAlkWPad8kB7QknrmGJO0p4a+uZ2cxqE1gpljCMc8cr9oWFDftr2BNrKpDPPXaO4y9oqsziPISgL+z+YNgUe3enIHeKeEgCOtkEnqyLCNtfhCs65lrSNKekv1NR885r70Zs4Nl5go0FuhScMf6UOgpUPhb4H8AL4XHCj0FCn8LdDsOov5R6ClQ+KvAX9BJ4AXjJnsLAAABaXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbyBzdHJldGNoeT0iZmFsc2UiPiYjeDIxRDI7PC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI8L21uPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj42PC9tbj48bWk+eTwvbWk+PG1vPis8L21vPjxtbj40PC9tbj48bWk+eTwvbWk+PG1vPj08L21vPjxtbj4yNDwvbW4+PG1vPiYjeDIyMTI7PC9tbz48bW4+NjwvbW4+PG1vIHN0cmV0Y2h5PSJmYWxzZSI+JiN4MjFEMjs8L21vPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI8L21uPjxtaT55PC9taT48bW8+PTwvbW8+PG1uPjE4PC9tbj48L21hdGg+6h8qQwAAAABJRU5ErkJggg==)
![rightwards double arrow y space equals space minus 9](data:image/png;base64,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)
Step 2 :- substitute value of y and find x
![not stretchy rightwards double arrow 2 x minus 4 y equals 6 not stretchy rightwards double arrow 2 x minus 4 left parenthesis negative 9 right parenthesis equals 6](data:image/png;base64,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)
![not stretchy rightwards double arrow 2 x equals 6 minus 36 not stretchy rightwards double arrow x equals negative 30 divided by 2](data:image/png;base64,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)
![therefore space x space equals space minus 15](data:image/png;base64,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)
x = -15 and y = -9 is the solution of the given pair of equations.
Related Questions to study
Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.
Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.
![2 x minus y equals negative 4](data:image/png;base64,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)
![2 x plus y equals 4](data:image/png;base64,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)
For the solution of the system of equations above, what is the value of ?
Note:
The equations can be solved in many other ways like substitution
method which is: to eliminate one variable in any one of the
equations with the help of other equation. As we need to find the
value of x, we try to find the value of y in terms of x from one
equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.
![2 x minus y equals negative 4](data:image/png;base64,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)
![2 x plus y equals 4](data:image/png;base64,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)
For the solution of the system of equations above, what is the value of ?
Note:
The equations can be solved in many other ways like substitution
method which is: to eliminate one variable in any one of the
equations with the help of other equation. As we need to find the
value of x, we try to find the value of y in terms of x from one
equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.
If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar(EFGH) = 40 sq.cm , find the ar (parallelogram ABCD).
If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar(EFGH) = 40 sq.cm , find the ar (parallelogram ABCD).
A soft drink is available in two packs. i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?
A soft drink is available in two packs. i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?
Two transversals are cutting two parallel lines as shown in the diagram. Find the missing values: x, y and
![](data:image/png;base64,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)
Two transversals are cutting two parallel lines as shown in the diagram. Find the missing values: x, y and
![](data:image/png;base64,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)
Find the value of x and classify the triangle by its angles.
![](data:image/png;base64,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)
Find the value of x and classify the triangle by its angles.
![](data:image/png;base64,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)
Note:
The definition of probability used above is the definition of theoretical probability or classical probability. There are many other terms in the concept of probability that the student must be familiar with to solve this question, such as event, outcome, favour able outcome, etc.
Note:
The definition of probability used above is the definition of theoretical probability or classical probability. There are many other terms in the concept of probability that the student must be familiar with to solve this question, such as event, outcome, favour able outcome, etc.
Find the measure of each interior angle of △ ABC, where m ∠ A = 4x°, m ∠ B = 3x° and m ∠ C =2x°
Find the measure of each interior angle of △ ABC, where m ∠ A = 4x°, m ∠ B = 3x° and m ∠ C =2x°
The design of a hanger has two right triangles inside. Find the value of x
![](data:image/png;base64,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)
The design of a hanger has two right triangles inside. Find the value of x
![](data:image/png;base64,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)
If a triangle has three congruent acute angles, it is
If a triangle has three congruent acute angles, it is
A right triangle has one right angle and two ____ angles.
A right triangle has one right angle and two ____ angles.
P is a point in the interior of parallelogram ABCD. If
, what is the value of
?
P is a point in the interior of parallelogram ABCD. If
, what is the value of
?
The inner diameter of a cylindrical wooden pipe is 24 cm, and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cubic cm of wood has a mass of 0.6 gm.
The inner diameter of a cylindrical wooden pipe is 24 cm, and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cubic cm of wood has a mass of 0.6 gm.
![](data:image/png;base64,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)
The line graph above shows the average price of one metric ton of oranges, in dollars, for each of seven months in 2014.
In 2014, the average price of one metric ton of
oranges decreased by 2.36% from January (not
shown) to February. Which of the following is closest
to the price of one metric ton of oranges in
January 2014?
Note:
Interpreting the condition given in the question and forming the equation is a crucial part of this problem.
To find the closest value to 794.76, we need to find the difference between 794.76 and the numbers given in the options, and choose the minimum one to get the closest value
![](data:image/png;base64,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)
The line graph above shows the average price of one metric ton of oranges, in dollars, for each of seven months in 2014.
In 2014, the average price of one metric ton of
oranges decreased by 2.36% from January (not
shown) to February. Which of the following is closest
to the price of one metric ton of oranges in
January 2014?
Note:
Interpreting the condition given in the question and forming the equation is a crucial part of this problem.
To find the closest value to 794.76, we need to find the difference between 794.76 and the numbers given in the options, and choose the minimum one to get the closest value