Question

A system of equations is shown below.
2x + 3y = 12
x = -2y + 10
What is the solution to this system?

Answer 1

Step-by-step explanation:

$2x + 3y = 12 \\ x = - 2y + 10 \\ 2( - 2y + 10) + 3y = 12 \\ - 4y + 20 + 3y = 12 \\ - y = - 8 \\ y = 8 \\ x = - 2y + 10 \\ x = - 2 \times 8 + 10 = - 6$

(-6 , 8)