Answer
(x, y) = (3, -6)
x = 3
y = -6
Explanation
We are asked to use elimination method to solve the system of equations.
x + 5y = -27
-2x - 5y = 24
To do this, we just need to add the two equations
x + 5y = -27
-2x - 5y = 24
___________
x - 2x + 5y - 5y = -27 + 24
-x + 0 = -3
-x = -3
x = 3
We can then solve for y
x + 5y = -27
x = 3
x + 5y = -27
3 + 5y = -27
5y = -27 - 3
5y = -30
Divide both sides by 5
(5y/5) = (-30/5)
y = -6
Hope this Helps!!!
