He system of linear equations - 2x + y = 8 and - 3x - y = 7 is graphed below.

(-3,2)

Step-by-step explanation:

To solve this, I will use substitution. First, isolate y in one of the equations;

-2x+y=8

-3x-y=7

-2x+y=8 is the same as y=2x+8, Now plug y into the other equation to solve for x;

-3x - (2x+8) = 7 Solve for x

-5x-8=7

-5x=15

x=-3, Now plug in x in either equation to solve for y;

-2 (-3) + y=8

6+y=8

y=2, The answer to this system is (-3,2)