Answer
$(x,y)=(-2,-1)$; dependent equation
Work Step by Step
Need to apply Cramer's Rule.
$x=\dfrac{D_x}{D}$; $y=\dfrac{D_y}{D}$
Now, $D=\begin{vmatrix}3&-7\\2&-3\end{vmatrix}=-9+14=5$;
$D_x=\begin{vmatrix}1&-7\\-1&-3\end{vmatrix}=-3-7=-10$;
$D_y=\begin{vmatrix}3&1\\2&-1\end{vmatrix}=-3-2=-5$
Thus, $x=\dfrac{-10}{5}=-2$ and $y=\dfrac{-5}{5}=-1$
Hence, $(x,y)=(-2,-1)$; dependent equation
