Answer
$x=4, y=-2$
Work Step by Step
Rewrite our system of equations in matrix form:
$\begin{bmatrix}
1 & 3\\
2 & 7
\end{bmatrix}.\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
-2\\
-6
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{7-6}\begin{bmatrix}
7&-3\\
-2 & 1
\end{bmatrix}.\begin{bmatrix}
-2\\
-6
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=1\begin{bmatrix}
-2\\
-2
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
4\\
-2
\end{bmatrix}$
Hence, $x=4, y=-2$
