Solve the System $$\left\{ \begin{array} { r r } x - y + 2 z = & - 2 \\4 x + z = & 0 \\- x + y - 2 z = & 6\end{array} \right.$$

Multiple Choice

Solve the system. If there is no solution or if the system's equations are dependent, so state.
- $$\left\{ \begin{array} { r r } x - y + 2 z = & - 2 \\4 x + z = & 0 \\- x + y - 2 z = & 6\end{array} \right.$$

A) infinitely many solutions; dependent equations
B) $\{ ( 0,0,2 ) \}$
C) $\{ ( 2,2,0 ) \}$
D) no solution or $\varnothing$