Solve 49x + 9= 49x + 83
a)Does the equation have one solution , no solution or infinitely many solutions ?
b) Write two equations in one variable that have the same number of solutions as this equation

– State and prove the AAS congruence postulate using the ASA congruence postulate.

Solve 0.9x+5.1x - 7 =2(2.5x - 3). How many solutions does the equation have ?

Two rival dry cleaners both advertise their prices. Let x equal the number of items dry cleaned. Store A’s prices are represented by the equation 15x - 2. Store B’s prices are represented by the expression 3 (5x + 7). When do the two stores charge the same rate ? Explain.

Mathematical expressions are made up of at least two numbers or variables, one math operation, and a sentence. This mathematical operation allows you to multiply, divide, add, or subtract numbers.
¶Types of Expression
1. Arithmetic operators and numbers make up a mathematical numerical expression. There are no symbols for undefined variables, equality, or inequality.
2. Unknown variables, numerical values, and arithmetic operators make up an algebraic expression. There are no symbols for equality or inequality in it.
¶In contrast to equations, the equal (=) operator is used between two mathematical expressions. Expressions denote a combination of numbers, variables, and operation symbols. The "equal to" sign also has the same value on both sides.

Two rival dry cleaners both advertise their prices. Let x equal the number of items dry cleaned. Store A’s prices are represented by the equation 15x - 2. Store B’s prices are represented by the expression 3 (5x + 7). When do the two stores charge the same rate ? Explain.

Describe how to sketch the fourth figure in the pattern. Then sketch the fourth figure.

Solve 4(4x + 3)= 19x + 9 - 3x + 3 . Does the equation have one solution , no solution or infinitely many solutions ?

Classify the equation 33x + 99 = 33x - 99 as having one solution, no solution or infinitely many solutions .

How many solutions does the equation 3(2.4x+4)= 4.1x + 7 + 3.1x have Explain?

Suji and Anu are making smoothies that have the same number of fluid ounces. Suji uses 4 containers of ice cream to make her smoothie and she prepares 6 ounces of juice in total. Anu uses 2.5 containers of ice cream to make her smoothie and she prepares 12 ounces of juice in total. How many Ounces of Ice-Cream is in each container?

Determine the number of solutions for each equation:
a)x+3+7= 2x-10-x

Prove that triangles AEB and CED are congruent, provided that AB || CD. Name the postulate that you used.

Madhu makes 3 bracelets and Swetha makes 2 bracelets. They both use the same number of string colors. How many colors should they used to make the same amount of money ?
Madhu’s Bracelet : Rs 5 per bracelet plus Rs 2 for each string color.
Swetha’s Bracelet : Rs 3 per bracelet and Rs 3 for each string color.
Say whether this situation has no solution or infinitely many solutions?

What additional information is necessary to prove that the given triangles are congruent by AAS postulate?

Can the triangles be proven congruent with the information given in the diagram?

Prove that triangles OXY and OPQ are congruent by AAS postulate.