Solve the System $$\begin{aligned}x - 2 z & = 10 \\3 y + 6 z & = - 27 \\2 x - 2 y & = 6\end{aligned}$$

Multiple Choice

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
- $$\begin{aligned}x - 2 z & = 10 \\3 y + 6 z & = - 27 \\2 x - 2 y & = 6\end{aligned}$$

A) $\{ ( 10,0,0 ) \}$
B) Infinitely many solutions; dependent
C) $\{ ( 2 , - 1 , - 4 ) \}$
D) No solution; inconsistent