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

Multiple Choice

Solve the system of linear equations.
$$\left\{ \begin{aligned}x + y + z + w & = 11 \\- 2 x - y - 3 z + 4 w & = - 5 \\- 2 x - 5 z - w & = - 23 \\3 x + 5 y + z - 2 w & = 16\end{aligned} \right.$$

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