2.5x + y = -2, 3x + 2y = 0

To find the solution for this system of equations, we can use the method of substitution.

First, let's solve one equation for one variable in terms of the other variable.

From equation (1): 2.5x + y = -2
We can isolate y by subtracting 2.5x from both sides:
y = -2 - 2.5x

Now, substitute this expression for y into equation (2):
3x + 2(-2 - 2.5x) = 0

Multiply:
3x - 4 - 5x = 0

Combine like terms:
-2x - 4 = 0

Add 4 to both sides to isolate x:
-2x = 4

Divide by -2:
x = -2

Now, substitute x = -2 into equation (1) to find y:
2.5(-2) + y = -2
-5 + y = -2

Add 5 to both sides to isolate y:
y = 3

The solution to the system of equations is x = -2 and y = 3.