Solve the System of Linear Equations $\left\{ \begin{aligned}- 3 x + 2 y - z & = 9 \\- x - 3 y + z & = 12 \\x - 2 y + 4 z & = 13\end{aligned} \right.$

Multiple Choice

Solve the system of linear equations. $\left\{ \begin{aligned}- 3 x + 2 y - z & = 9 \\- x - 3 y + z & = 12 \\x - 2 y + 4 z & = 13\end{aligned} \right.$

A) $( - 6 , - 4,5 )$
B) $( - 5 , - 1,4 )$
C) $( - 1,4 , - 5 )$
D) $( - 4,5 , - 6 )$
E) inconsistent