Answer
See answers below
Work Step by Step
The coefficient matrix is: $A=\begin{bmatrix}
1 & 1 & 1& -1\\
2 & 4 & -3 & 7\\
\end{bmatrix}$
The right-hand side vector is: $b=\begin{bmatrix}
3 \\
2
\end{bmatrix}$
The augmented matrix: $A^{\#}=\begin{bmatrix}
1 & 1 & 1& -1 | 3\\
2 & 4 & -3 & 7 | 2\\
\end{bmatrix}$