Answer
$x=\dfrac{7}{4}$
$y=-\dfrac{25}{8}$
Work Step by Step
First we have to compute the determinants $D,D_x,D_y$:
$D=\begin{vmatrix}1&-2\\3&2\end{vmatrix}=2+6=8$
$D_x=\begin{vmatrix}8&-1\\3&2\end{vmatrix}=16-2=14$
$D_y=\begin{vmatrix}1&8\\3&-1\end{vmatrix}=-1-24=-25$
We use Cramer's Rule to determine the solutions of the system:
$x=\dfrac{D_x}{D}=\dfrac{14}{8}=\dfrac{7}{4}$
$y=\dfrac{D_y}{D}=\dfrac{-25}{8}=-\dfrac{25}{8}$
The solution is:
$x=\dfrac{7}{4}$
$y=-\dfrac{25}{8}$
