Answer
$(4,-1)$
Work Step by Step
Step 1. Based on the Cramer’s Rule, with the given equations, we can define the following determinants:
$\begin{array}( \\|D|= \\ \\ \end{array}
\begin{vmatrix} 0.4 &1.2\\1.2 &1.6 \end{vmatrix},
\begin{array}( \\|D_x|= \\ \\ \end{array}
\begin{vmatrix} 0.4 &1.2\\3.2 &1.6 \end{vmatrix},
\begin{array}( \\|D_y|= \\ \\ \end{array}
\begin{vmatrix} 0.4 &0.4\\1.2 &3.2 \end{vmatrix}$
Step 2. Evaluate the above determinants:
$|D|=0.4\times1.6-(1.2\times1.2)=-0.8$,
$|D_x|=0.4\times1.6-(1.2\times3.2)=-3.2$,
$|D_y|=0.4\times3.2-(0.4\times1.2)=0.8$
Step 3. Find the solutions as:
$x=\frac{|D_x|}{|D|}=4$,
$y=\frac{|D_y|}{|D|}=-1$
