Question

find the solution of the system of equations.
12x + 8y = -12
-2x - 2y = -4
answer attempt 1 out of 2
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Explanation:

Step1: Simplify the second equation

Divide the second equation \(-2x - 2y = -4\) by \(-2\) to get \(x + y = 2\), which can be rewritten as \(x = 2 - y\).

Step2: Substitute \(x\) into the first equation

Substitute \(x = 2 - y\) into the first equation \(12x + 8y = -12\):

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Step3: Solve for \(y\)

Subtract 24 from both sides:

$$ -4y = -12 - 24 = -36 $$

Divide both sides by \(-4\):

$$ y = \frac{-36}{-4} = 9 $$

Step4: Solve for \(x\)

Substitute \(y = 9\) into \(x = 2 - y\):

$$ x = 2 - 9 = -7 $$

Answer:

\((-7, 9)\)