Answer
$x=3, y=2$
Work Step by Step
Rewrite our system of equations in matrix form:
$\begin{bmatrix}
4 & -1\\
-7 & -2
\end{bmatrix}.\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
10\\
-25
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{-8-7}\begin{bmatrix}
-2 & 1\\
7 & 4
\end{bmatrix}.\begin{bmatrix}
10\\
-25
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{-1}{15}\begin{bmatrix}
-45\\
-30
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
3\\
2
\end{bmatrix}$
Hence, $x=3, y=2$
