Solve the System $\left\{ \begin{array} { r } x + y + z = 0 \\x - y + 2 z = - 2 \\2 x + y + z = - 4\end{array} \right.$

Multiple Choice

Solve the system.
- $\left\{ \begin{array} { r } x + y + z = 0 \\x - y + 2 z = - 2 \\2 x + y + z = - 4\end{array} \right.$

A) $( 2 , - 4,2 )$
B) $( - 4,2,2 )$
C) $( 2,2 , - 4 )$
D) $\varnothing$