#### Answer

$\begin{cases} 2x-4y=8 \\ 3x+5y=-10 \end{cases}$

#### Work Step by Step

Based on the given determinants. recalling their definitions and Cramer’s Rule, we can write the system of linear equations as:
$\begin{cases} 2x-4y=8 \\ 3x+5y=-10 \end{cases}$
where we used $D$ to find the left-side coefficients and the first column of $D_x$ to find the right-side values.