Question

solve using elimination.
-6x + 4y = -12
5x - 4y = 16
(\square, \square)

Explanation:

Step1: Add the two equations

To eliminate \( y \), we add the equations \(-6x + 4y=-12\) and \(5x - 4y = 16\) together.

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Step2: Solve for \( x \)

Multiply both sides of \(-x = 4\) by \(- 1\) to solve for \( x \).

$$ x=-4 $$

Step3: Substitute \( x \) into one equation

Substitute \( x=-4 \) into the first equation \(-6x + 4y=-12\).

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Step4: Solve for \( y \)

Subtract 24 from both sides:

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

Divide both sides by 4:

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

Answer:

\((-4, -9)\)