Solve the System by Using the Gauss-Jordan Method $$\begin{aligned}2 x - 3 y - 9 z & = 12 \\4 x + 5 y - 6 z & = - 14 \\- 5 x + 3 y - 9 z & = 21\end{aligned}$$

Multiple Choice

Solve the system by using the Gauss-Jordan method.
$$\begin{aligned}2 x - 3 y - 9 z & = 12 \\4 x + 5 y - 6 z & = - 14 \\- 5 x + 3 y - 9 z & = 21\end{aligned}$$

A) $\left( - 6 , - 4 , - \frac { 4 } { 3 } \right)$
B) $\left( - 3 , - 2 , - \frac { 4 } { 3 } \right)$
C) $( - 3,7 , - 5 )$
D) No solution; inconsistent system