Question

What is the solution of the system of equations? y = –3x + 8 y = –5x – 2

Answer 1

$y=-3x+8 \\ y=-5x-2 \\ \\ -3x+8=-5x-2 \\ -3x+5x=-2-8 \\ 2x=-10 \\ x=- \frac{10}{2} \\ x=-5 \\ y=-3(-5)+8=15+8=23 \\ \\ \boxed{-5,23}$

Answer 2

$y=-3x+8 \\ y=-5x-2 \\ \\ -3x+8=-5x-2 \\ 2x=-10 \\ x= \frac{-10}{2} \\ x=-5 \\ \\ y=-3(-5)+8 \\ y=15+8 \\ y=23\\ \\ \boxed{(-5,23)}$