Find All Solutions of the System $$\left\{ \begin{array} { l } x + y + z + w = 4 \\x - 2 y - z - w = 6 \\2 x - y + z - w = 5 \\x - y + 2 z - 2 w = - 5\end{array} \right.$$

Multiple Choice

Find all solutions of the system. $$\left\{ \begin{array} { l } x + y + z + w = 4 \\x - 2 y - z - w = 6 \\2 x - y + z - w = 5 \\x - y + 2 z - 2 w = - 5\end{array} \right.$$

A) $( 0 , - 2,4,5 )$
B) $( 5,0 , - 3,2 )$
C) $( - 8,2 , - 5,0 )$
D) $\text { The system is dependent. }$
E) $\text { The system is inconsistent. }$