Question

-7x - y = -1\
-7x + y = -13\
(\boxed{\quad},\boxed{\quad})\
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Explanation:

Step1: Subtract the two equations

We have the system of equations:

$$
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$$

Subtract the second equation from the first equation:

$$ (-7x - y) - (-7x + y) = -1 - (-13) $$

Step2: Simplify the left side

$$ -7x - y + 7x - y = -1 + 13 $$

$$ -2y = 12 $$

Step3: Solve for y

Divide both sides by -2:

$$ y = \frac{12}{-2} = -6 $$

Step4: Substitute y into one of the original equations

Substitute \( y = -6 \) into the first equation \( -7x - y = -1 \):

$$ -7x - (-6) = -1 $$

$$ -7x + 6 = -1 $$

Step5: Solve for x

Subtract 6 from both sides:

$$ -7x = -1 - 6 $$

$$ -7x = -7 $$

Divide both sides by -7:

$$ x = 1 $$

So the solution is \( (1, -6) \).

Answer:

\( (1, -6) \)