2y + x = -6
y = -2x + 0
We can substitute the second equation into the first one.
2y + x = -6
2(-2x + 0) + x = -6
-4x + x = -6
-3x = -6
Divide -3 on both sides.
x = 2
Now, plug x = 2 into any equation and solve for y.
y = -2x + 0
y = -2(2) + 0
y = -4
The solution to the system of equations is (2,-4).