Question

Which of the following equations shows how substitution can be used to solve the following system of equations?
3y - x = 5
2x + 5y = 12

A.) 2x + 5y = 3y – x

B.) 2(3y – 5) +5y = 12

C.) 2x + 5(3y – x) = 12

D.) 9xy = 17

Answer 1

Answer: B

Step-by-step explanation: To use substitution you solve one of the equations for x or y and plug it in to the other equation.

3y - x = 5

x = 3y - 5

then plug in for the x value

2x + 5y = 12

2(3y - 5) + 5y = 12