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

Multiple Choice

Solve the system of linear equations. $\left\{ \begin{array} { c } x + y + z + w = 0 \\- 3 x - 2 y + z - w = - 5 \\- 5 x + 4 z - w = - 20 \\- 5 x + y + z + 4 w = - 15\end{array} \right.$

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