Answer
$(\frac{3}{2}, 2)$
Work Step by Step
Step 1. Based on the Cramer’s Rule, with the given equations, we can define the following determinants:
$\begin{array}( \\|D|= \\ \\ \end{array}
\begin{vmatrix} 6 &12\\4 &7 \end{vmatrix},
\begin{array}( \\|D_x|= \\ \\ \end{array}
\begin{vmatrix} 33 &12\\20 &7 \end{vmatrix},
\begin{array}( \\|D_y|= \\ \\ \end{array}
\begin{vmatrix} 6 &33\\4 &20 \end{vmatrix}$
Step 2. Evaluate the above determinants:
$|D|=6\times7-(12\times4)=-6$,
$|D_x|=33\times7-(12\times20)=-9$,
$|D_y|=6\times20-(33\times4)=-12$
Step 3. Find the solutions as:
$x=\frac{|D_x|}{|D|}=\frac{3}{2}$,
$y=\frac{|D_y|}{|D|}=2$
