Answer
$\begin{cases} 2x-3y=8 \\ 5x+6y=11 \end{cases}$
Work Step by Step
Based on the given determinants, recall their definitions and Cramer’s Rule. We can write the system of linear equations as:
$\begin{cases} 2x-3y=8 \\ 5x+6y=11 \end{cases}$
Note that we used the first column of $D_{x}$ to find the constants on the right side of the equation and $D$ to find the left side coefficients.