Question

solve.
-9x - 9y = 18
-9x - y = -6
(□, □)
submit

Explanation:

Step1: Subtract the two equations

We have the system:

$$
LATEXBLOCK0
$$

Subtract the second equation from the first equation:

$$ (-9x - 9y) - (-9x - y) = 18 - (-6) $$

Simplify the left side: \(-9x - 9y + 9x + y = -8y\)
Simplify the right side: \(18 + 6 = 24\)
So we get \(-8y = 24\)

Step2: Solve for y

Divide both sides of \(-8y = 24\) by \(-8\):
\(y=\frac{24}{-8}=-3\)

Step3: Substitute y into one equation to find x

Substitute \(y = -3\) into the second equation \(-9x - y = -6\):
\(-9x - (-3) = -6\)
Simplify: \(-9x + 3 = -6\)
Subtract 3 from both sides: \(-9x = -6 - 3=-9\)
Divide both sides by \(-9\): \(x = \frac{-9}{-9}=1\)

Answer:

\((1, -3)\)