Can anyone answer this algebra question for me?

Question

asked Jul 1, 2021 75.2k views

1 Answer

Yonlif · Answer 1 · 2021-07-07T08:31:36+0000

As you said, we will solve for x by using substitution.

$y = -3x - 17\\-x + 5y = -5\\\\-x + 5(-3x - 17) = -5\\\\-x - 15x - 85 = -5\\\\-16x - 85 = -5\\\\-16x = 80\\\\x = -5$

Using what we found for x, we plug it into one of the original equations to solve for y. I chose the second equation.

$-(-5) + 5y = -5\\\\5 + 5y = -5\\\\5y = -10\\\\y = -2$

Now, we can create the solution to this system.

A:
(-5, -2)