tickets for a school play have one price for students, x, and a different price for non-students, y. The system of equations shown is based on two different ticket orders in which the prices x and y are in dollars. 2x + 3y = 49 and x + 2y = 30
A. What is the first step in solving the system by substitution?
B. Solve the system and explain what your solution represents.

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given equations are:

2x + 3y = 49

x + 2y = 30

A) From eq 2,

x+2y=30

x=30-2y

B) x and y represents the prices of tickets for students and non students.

2(30-y)+3y=49

60-4y+3y=49

y=60-49

y=11

x=30-2y

x=30-2(11)

x=30-22

x=8

The solutions x and y represent the prices of tickets for students and non students.

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