Answer
$x=-3, y=0$
Work Step by Step
Rewrite our system of equations in matrix form:
$\begin{bmatrix}
2& -7\\
-1& 5
\end{bmatrix}.\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
-6\\
3
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{10-7}\begin{bmatrix}
5 & 7\\
1&2
\end{bmatrix}.\begin{bmatrix}
-6\\
3
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{3}\begin{bmatrix}
-9\\
0
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
-3\\
3
\end{bmatrix}$
Hence, $x=-3, y=0$
