Solve the System of Equations by Finding the Reduced Row $$\begin{array} { l } 3 x + 2 y + z = 4 \\2 x - 3 y - z = 5\end{array}$$

Multiple Choice

Solve the system of equations by finding the reduced row echelon form for the augmented matrix.
- $$\begin{array} { l } 3 x + 2 y + z = 4 \\2 x - 3 y - z = 5\end{array}$$

A) $\left( \frac { 1 } { 13 } z + \frac { 22 } { 13 } , \frac { 5 } { 13 } z - \frac { 7 } { 13 } , z \right)$
B) $\left( \frac { 1 } { 13 } z - \frac { 22 } { 13 } , \frac { 5 } { 13 } z + \frac { 7 } { 13 } , z \right)$
C) $\left( - \frac { 1 } { 13 } z + \frac { 22 } { 13 } , - \frac { 5 } { 13 } z - \frac { 7 } { 13 } , z \right)$
D) $\left( \frac { 22 } { 13 } z - \frac { 1 } { 13 } , - \frac { 7 } { 13 } z - \frac { 5 } { 13 } , z \right)$