Solve the System of Linear Equations $$\left\{ \begin{aligned}x + y + z + w & = 3 \\- x - y + z + w & = - 5 \\x + 3 z + w & = - 6 \\- 4 x - 4 y - 2 z - w & = - 13\end{aligned} \right.$$

Solve the system of linear equations.
$$\left\{ \begin{aligned}x + y + z + w & = 3 \\- x - y + z + w & = - 5 \\x + 3 z + w & = - 6 \\- 4 x - 4 y - 2 z - w & = - 13\end{aligned} \right.$$

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