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To solve the system using the substitution method, we'll start by solving one equation for one variable and substituting it into the other equation.
Let's solve the first equation, 2.5x + y = -2, for y:
y = -2 - 2.5x
Now, substitute this expression for y into the second equation:
3x + 2(-2 - 2.5x) = 0
Simplify this equation:
3x - 4 - 5x = 0
Combine like terms:
-2x - 4 = 0
Add 4 to both sides:
-2x = 4
Divide both sides by -2:
x = -2
Now substitute this value of x into the first equation to solve for y:
2.5(-2) + y = -2
-5 + y = -2
Add 5 to both sides:
y = 3
Therefore, the solution to the system of equations is (x, y) = (-2, 3).