Answer
$(x,y)=(-1,-3)$; dependent equation
Work Step by Step
Need to apply Cramer's Rule.
$x=\dfrac{D_x}{D}$; $y=\dfrac{D_y}{D}$
Now, $D=\begin{vmatrix}1&5\\-2&-1\end{vmatrix}=-1+10=9$;
$D_x=\begin{vmatrix}5&-2\\-2&-1\end{vmatrix}=-5-4=-9$
$D_y=\begin{vmatrix}1&5\\5&-2\end{vmatrix}=-2-25=-27$
Thus, $x=\dfrac{-9}{9}=-1$ and $y=\dfrac{-27}{9}=-3$
Hence, $(x,y)=(-1,-3)$; dependent equation
