If the System Has Infinitely Many Solutions, Write the Solution $$\begin{array} { l } 6 x + 2 y - z = - 2 \\4 x - y + 2 z = 1 \\- 12 x - 4 y + 2 z = 0\end{array}$$

Multiple Choice

If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } 6 x + 2 y - z = - 2 \\4 x - y + 2 z = 1 \\- 12 x - 4 y + 2 z = 0\end{array}$$

A) $\varnothing$
B) $\{ ( x , - 1 - 3 x , - 2 - 6 x ) \}$
C) $\left\{ \left( x , \frac { 1 } { 2 } - 2 x , 4 x - 1 \right) \right\}$
D) $\{ ( 0,0 ) \}$