Answer
$x=1, y=-8$
Work Step by Step
Rewrite our system of equations in matrix form:
$\begin{bmatrix}
6& 1\\
-1& 3
\end{bmatrix}.\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
-2\\
-25
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{18+1}\begin{bmatrix}
3 & -1\\
1&6
\end{bmatrix}.\begin{bmatrix}
-2\\
-25
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{19}\begin{bmatrix}
19\\
-152
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
1\\
-8
\end{bmatrix}$
Hence, $x=1, y=-8$
