Answer
$x=-2 , y=2$
Work Step by Step
First we find $D, D_x $ and $ D_y$
Using Cramer's rule:
$$ D=\begin{bmatrix}
1&-1\\
2 & 3
\end{bmatrix}=1( 3)-(-1)(2)=3+2=5$$
$$ D_x=\begin{bmatrix}
-4&-1\\
2 & 3
\end{bmatrix}=(-4)(3)-(-1)(2)=-12+2=-10$$
$$ D_y=\begin{bmatrix}
1&-4\\
2 & 2
\end{bmatrix}=1(2)-(-4)(2)=2+8=10$$
Then,
$$x=\frac{D_x}{D}=\frac{-10}{5}=-2$$
$$y=\frac{D_y}{D}=\frac{10}{5}=2$$
The ordered pair solution is $(-2,2)$.
