Question

solve using elimination. 8x + 8y = 8 -10x - 8y = 10

Explanation:

Step1: Add the two equations

Add the equations \(8x + 8y = 8\) and \(-10x - 8y = 10\) together. The \(8y\) and \(-8y\) will eliminate each other.

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Step2: Solve for x

Divide both sides of the equation \(-2x = 18\) by \(-2\) to find the value of \(x\).

$$ x=\frac{18}{-2}=-9 $$

Step3: Substitute x into one of the original equations

Substitute \(x = -9\) into the first equation \(8x + 8y = 8\).

$$ 8(-9)+8y = 8 $$

$$ -72 + 8y = 8 $$

Step4: Solve for y

Add 72 to both sides of the equation \(-72 + 8y = 8\).

$$ 8y=8 + 72 $$

$$ 8y = 80 $$

Divide both sides by 8.

$$ y=\frac{80}{8}=10 $$

Answer:

\((-9, 10)\)