Answer
Answer C
Work Step by Step
Rewrite our system of equations in matrix form:
$\begin{bmatrix}
3& -5\\
-1& 2
\end{bmatrix}.\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
-26\\
10
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{6-5}\begin{bmatrix}
2 & 5\\
1&3
\end{bmatrix}.\begin{bmatrix}
-26\\
10
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\frac{1}{1}\begin{bmatrix}
-2\\
4
\end{bmatrix}$
$\begin{bmatrix}
x\\
y
\end{bmatrix}=\begin{bmatrix}
-2\\
4
\end{bmatrix}$
Hence, $x=-2, y=4$
The correct answer is C.
