Answer
$x=-9, y=-4$
Work Step by Step
We divide the $R_1$ by $2$ and then subtract $3R_1$ from $R_2$:
We have: $\begin{bmatrix} 1 & -2.5 & : 1 \\ 0 & 0.5 & : -2 \end{bmatrix}$
Divide $R_2$ by $0.5$.
$\begin{bmatrix} 1 & -2.5 & : 1 \\ 0 & 1 & : -4 \end{bmatrix}$
Write the system of equations corresponding to the augmented matrix as follows:
$x -2.5y=1 \\ y =-4$
and $x-2.5(-4)=1 \implies x=-9$
Therefore, $x=-9, y=-4$
