Question

-2(-2x - 2y = -24)
-2(-3x - 2y = -33)

4x + 4y = 48
6x + 4y = 66
\overline{x + 0y = 9}

solve for x:
x = 9
x = 9

plug in x = 9 into either equation and solve for y
-2x - 2y = -24 or -3x - 2y = -33
y =

Explanation:

Step1: Choose an equation to substitute x=9

Let's choose the first equation \(-2x - 2y = -24\). Substitute \(x = 9\) into it:
\(-2(9) - 2y = -24\)

Step2: Simplify the left - hand side

Calculate \(-2\times9=-18\), so the equation becomes \(-18 - 2y = -24\)

Step3: Isolate the term with y

Add 18 to both sides of the equation:
\(-2y=-24 + 18\)
\(-2y=-6\)

Step4: Solve for y

Divide both sides by - 2:
\(y=\frac{-6}{-2}=3\)

We can also check with the second equation \(-3x - 2y=-33\). Substitute \(x = 9\):
\(-3\times9-2y=-33\)
\(-27-2y=-33\)
Add 27 to both sides: \(-2y=-33 + 27=-6\)
Divide by - 2: \(y = 3\)

Answer:

\(y = 3\)