Find All Solutions of the System $$\left\{ \begin{aligned}- x + y + z + w & = 12 \\2 y - z - w & = 7 \\2 z + 5 w & = 18 \\11 w & = 44\end{aligned} \right.$$

Multiple Choice

Find all solutions of the system. $$\left\{ \begin{aligned}- x + y + z + w & = 12 \\2 y - z - w & = 7 \\2 z + 5 w & = 18 \\11 w & = 44\end{aligned} \right.$$

A) $( 4,1 , - 5 , - 4 )$
B) $( - 4,5 , - 1,4 )$
C) $( 5 , - 1 , - 4,4 )$
D) $\text { The system is dependent. }$
E) $\text { The system is inconsistent. }$