X=y-8

-x-y=0

how many solutions

1 (-4,4)

Step-by-step explanation:

The first step I did was make these equations more graphable, making x=y-8 into x+8=y and - x=y. Then I had graphed these two, and observed the intersection they made. Also another way is using algebra, you can turn x=y-8 into x-y+8=0, and then x-y+8=-x-y, using that we can find - 4 = x, and y = 4, that would be the only solution.

one solution

Step-by-step explanation:

x=y-8

-x-y=0

Substitute the first equation into the second equation

- (y-8) - y = 0

-y + 8 - y = 0

-2y + 8 = 0

Add 2y to each side

-2y+2y + 8 = 2y

8 = 2y

Divide each side by 2

8/2 = 2y/2

4 = y

x = y-8

x = 4-8

x=-4

(-4,4)