Substitute or eliminate
2x+y=-2
y=-3x-5

Substitute value of y from 2nd equation in first equation, 

2x + y = -2
2x - 3x - 5 = -2
-x = -2 + 5
x = -3

Now, y = -3(-3) - 5
y = 9 - 5 = 4

In short, Your Answer would be: (-3, 4)

Hope this helps!