Answer
$x=4,y=-1$
Work Step by Step
Cramer's Rule for $2$ equations in $2$ unknowns says that the system of linear equations is equivalent to the matrix equation $DX=B$ and if $|D|\ne 0$, then the solutions are $x_i=\frac{|D_{x_i}|}{|D|}$ where $D_{x_i}$ can be obtained by replacing the $i$th column of $D$ by $B$.
Hence, we have:
$|D|=0.4(1.6)-(1.2)(1.2)=-0.8$
$|D_x|=0.4(1.6)-(1.2)3.2=-3.2$
$|D_y|=0.4(3.2)-(0.4)(1.2)=0.8$
Thus
$x=\frac{|D_x|}{|D|}=4,y=\frac{|D_y|}{|D|}=-1$