Question

Use the system of equations to answer the questions.

2x + 3y = 3

y = 8 – 3x

The value of y from the second equation is substituted back into the first equation. What is the resulting equation?


What is the value of x?


What is the value of y?

Answer 1

Substitute y = 8 − 3x into 2x + 3y = 3:

2x + 3(8 − 3x) = 3

Simplify: 2x + 24 − 9x = 3 → −7x + 24 = 3 → −7x = −21 → x = 3

Then y = 8 − 3x = 8 − 9 = −1.