Question

Solve system of equation using elimination by addition.

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Answer 1

Answer:

$x = 2, y = -3$

Step-by-step explanation:

Add the 2 equations together, then solve for x.

$(2x + 2y) + (3x - 2y) = (-2) + (12)\\ 2x + 3x + 2y - 2y = -2 + 12\\5x = 10\\x = 2$

Now that we know the value of x, we can easily find y by substitution.

$3x - 2y = 12\\3(2) - 2y = 12\\6 - 2y = 12\\-2y = 6\\y = -3$

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