Solve the System of Linear Equations A) $( - 5,2 , - 1,3 )$

Multiple Choice

Solve the system of linear equations. $$\left\{ \begin{array} { c l } x + y + z + w & = - 1 \\- 2 x + y + 3 z - w & = 6 \\2 x + 2 z - 2 w & = - 18 \\2 x + 4 y - 4 z + w & = 5\end{array} \right.$$

A) $( - 5,2 , - 1,3 )$
B) $( - 5,2,3 , - 1 )$
C) $( 3,2 , - 1 , - 5 )$
D) inconsistent
E) $( - 5 , - 1,2,3 )$