Answer
$x=0, y=4$
Work Step by Step
Rewrite our system of equations in matrix form:
$\begin{bmatrix}
3 & -1\\
2 & -2
\end{bmatrix}.\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
-4\\
-8
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{-6+2}\begin{bmatrix}
-2&1\\
-2 & 3
\end{bmatrix}.\begin{bmatrix}
-4\\
-8
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=-\frac{1}{4}\begin{bmatrix}
0\\
-16
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
0\\
4
\end{bmatrix}$
Hence, $x=0, y=4$
