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:
\[

$$\begin{cases} -7x - y = -1 \\ -7x + y = -13 \end{cases}$$

\]
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:

\( (1, -6) \)