Question

Solve the following system of equation using the substitution or elimination method. Show your work!

Answer 1

Step-by-step explanation:

I'll be using substitution to solve this since it's easier. Since y = 3x - 9, I can plug that into the y for the other equation and vice versa.

$3x - 9 = - 2x + 1$

1.) Cancel out -2x on the right side by adding it on both sides.

$5x - 9 = 1$

2.) Cancel out -9 on left side by adding it on both sides.

$5x = 10$

3.) Divide both sides by 5 to isolate and solve for x.

$x = 2$

4.) Plug x into one of the equations to solve for y.

$y = - 2(2) + 1$

5.) Solve.

$y = - 4 + 1 \\ y = - 3$

Solution: (2, -3)