Solve the System $\left\{ \begin{array} { c } x - y + 2 z = 5 \\5 x + z = 0 \\- x + y - 2 z = - 10\end{array} \right.$

Multiple Choice

Solve the system.
- $\left\{ \begin{array} { c } x - y + 2 z = 5 \\5 x + z = 0 \\- x + y - 2 z = - 10\end{array} \right.$

A) $( 2 , - 5,0 )$
B) $( 0 , - 5,0 )$
C) $( 0,0 , - 5 )$
D) $\varnothing$