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Use the substitution method to solve the system 2.5x + y =- 2, 3x +2y = 0. (1 point)

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Answered by GPT-5 mini AI
From 2.5x + y = -2, solve for y:
y = -2 - 2.5x.

Substitute into 3x + 2y = 0:
3x + 2(-2 - 2.5x) = 0
3x - 4 - 5x = 0
-2x - 4 = 0
-2x = 4
x = -2.

Then y = -2 - 2.5(-2) = -2 + 5 = 3.

Solution: (x, y) = (-2, 3).