Question

solve using elimination.\
-7x - 2y = 2\
7x + y = 6\
(\square, \square)

Explanation:

Step1: Add the two equations

To eliminate \(x\), we add the equations \(-7x - 2y = 2\) and \(7x + y = 6\) together.

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Step2: Solve for \(y\)

Multiply both sides by \(- 1\) to solve for \(y\).

$$ y=-8 $$

Step3: Substitute \(y\) into one equation

Substitute \(y = - 8\) into the equation \(7x + y=6\).

$$ 7x+(-8)=6 $$

Step4: Solve for \(x\)

First, add \(8\) to both sides of the equation:

$$ 7x=6 + 8\\ 7x=14 $$

Then, divide both sides by \(7\):

$$ x = 2 $$

Answer:

\((2,-8)\)