Question

8x + 7y = -1\
x - y = -17\
(\boxed{\quad})(\boxed{\quad})\
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Explanation:

Step1: Rewrite the system of equations

We have the system of equations:

$$
LATEXBLOCK0
$$

From the second equation \(x - y=-17\), we can express \(x\) in terms of \(y\) as \(x=y - 17\).

Step2: Substitute \(x=y - 17\) into the first equation

Substitute \(x=y - 17\) into \(8x + 7y=-1\):

$$
LATEXBLOCK1
$$

Step3: Solve for \(y\)

Add 136 to both sides of the equation \(15y-136=-1\):

$$
LATEXBLOCK2
$$

Divide both sides by 15:

$$ y=\frac{135}{15}=9 $$

Step4: Solve for \(x\)

Substitute \(y = 9\) into \(x=y - 17\):

$$ x=9-17=-8 $$

Answer:

\(x=-8\), \(y = 9\)