Answer
$x=10, y=-2$
Work Step by Step
Rewrite our system of equations in matrix form:
$\begin{bmatrix}
-2& -9\\
4 & 16
\end{bmatrix}.\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
-2\\
8
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{-32+36}\begin{bmatrix}
16 & 9\\
-4&-2
\end{bmatrix}.\begin{bmatrix}
-2\\
8
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{4}\begin{bmatrix}
40\\
-8
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
10\\
-2
\end{bmatrix}$
Hence, $x=10, y=-2$
