Answer
$x=0.2,y=1.8$
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:
$|D|=2(16)-(7)(6)=-10$
$|D_x|=13(16)-(7)30=-2$
$|D_y|=2(30)-(13)(6)=-18$
Thus
$x=\frac{|D_x|}{|D|}=0.2,y=\frac{|D_y|}{|D|}=1.8,$
