Solve the System of Equations $$\left\{ \begin{array} { c } x + y + z = - 5 \\x - y + 5 z = 3 \\4 x + y + z = - 17\end{array} \right.$$

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{array} { c } x + y + z = - 5 \\x - y + 5 z = 3 \\4 x + y + z = - 17\end{array} \right.$$

A) $x = 1 , y = - 2 , z = - 4$
B) $x = - 4 , y = - 2 , z = 1$
C) $x = 1 , y = - 4 , z = - 2$
D) inconsistent (no solution)