Solve the System $$\begin{aligned}2 x + y + 3 z & = 12 \\x - y + 4 z & = 5 \\- 4 x + 4 y - 4 z & = - 20\end{aligned}$$

Multiple Choice

Solve the system. If there is no unique solution, label the system as either dependent or inconsistent. $$\begin{aligned}2 x + y + 3 z & = 12 \\x - y + 4 z & = 5 \\- 4 x + 4 y - 4 z & = - 20\end{aligned}$$

A) $( 4,1,2 )$
B) $( 1,4,2 )$
C) Dependent system (infinitely many solutions)
D) Inconsistent system (no solution)