Solve the System of Linear Equations and Check Any Solution $\begin{array} { l } 3 x + 3 y = 0 \\\begin{aligned}6 x + 3 y - z & = 0 \\12 x + 3 y + 3 z & = 0\end{aligned} \\\end{array}$

Multiple Choice

Solve the system of linear equations and check any solution algebraically. $\begin{array} { l } 3 x + 3 y = 0 \\\begin{aligned}6 x + 3 y - z & = 0 \\12 x + 3 y + 3 z & = 0\end{aligned} \\\end{array}$

A) $( - 3,6,12 )$
B) (0, 0, 0)
C) $( - 3,6 , - 12 )$
D) $( 3,6,12 )$
E) $( 3,6 , - 12 )$