Answer
$x=-1, y=-4$
Work Step by Step
Rewrite our system of equations in matrix form:
$\begin{bmatrix}
3 & -2\\
6 & -5
\end{bmatrix}.\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
5\\
14
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{-15+12}\begin{bmatrix}
-5 & 2\\
-6&3
\end{bmatrix}.\begin{bmatrix}
5\\
14
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{-1}{3}\begin{bmatrix}
3\\
12
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
-1\\
-4
\end{bmatrix}$
Hence, $x=-1, y=-4$
