Answer
$\begin{bmatrix} 3 & 1 & 2 & | & 4\\ 1 & 0 & 2 & | & 5\\ 0 & 1 & -3 & | & -2\end{bmatrix}$
Work Step by Step
Based on the given system of equation, we can write the augmented matrix as:
$\begin{bmatrix} 3 & 1 & 2 & | & 4\\ 1 & 0 & 2 & | & 5\\ 0 & 1 & -3 & | & -2\end{bmatrix}$