8x + y = -16
-3x + y = -5
Note that, if we add 3x to both sides of the second equation, we have y = 3x - 5
And substituting this for y in the first equation give us:
8x + 3x - 5 = -16 simplify
11x - 5 = -16 add 5 to both sides
11x = -11 divide both sides by 11
x = -1
And using y = 3x - 5
y = 3(-1) - 5 = -3 - 5 = - 8
So (x, y) = (-1, -8)