Solve the System Using Gaussian Elimination or Gauss-Jordan Elimination $$\begin{array} { l } - 2 x - y + 3 z = 13 \\x - 3 y - 3 z = - 4\end{array}$$

Multiple Choice

Solve the system using Gaussian elimination or Gauss-Jordan elimination.
- $$\begin{array} { l } - 2 x - y + 3 z = 13 \\x - 3 y - 3 z = - 4\end{array}$$

A) $\{ ( - 1 , - 2,3 ) \}$
B) $\left\{ \left( \frac { 12 } { 7 } z - \frac { 43 } { 7 } , - \frac { 3 } { 7 } z - \frac { 5 } { 7 } , z \right) \mid z \right.$ is any real number $\}$
C) {}
D) $\{ ( 1,2 , - 3 ) \}$