You have the following system of equations:
-8x - 7y = 61
x + y = -8
in order to solve the previous system of equations, first multiply by 8 the second equation, and sum the result to the first equation, just as follow:
(x + y = -8)(8)
8x + 8y = -64
-8x - 7y = 61
8x + 8y = -64
y = -3
next, replace the previous value of y into the any of the equations of the system and solve for x. For instance, by using the second equation:
x + y = -8
x + (-3) = -8
x - 3 = -8 add 3 both sides
x = -8 + 3 simplify
x = -5
Hence, the solution to the given system of equations is x=-5 and y=-3, or the point (-5,-3)