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

Multiple Choice

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } 3 x + 2 y + z = 4 \\2 x - 3 y - z = 5 \\5 x + 12 y + 5 z = 2\end{array}$$

A) $\{ ( x , - 5 x - 9 , - 13 x + 22 ) \}$
B) $\{ ( x , - 5 x + 9 , - 13 x + 22 ) \}$
C) $\{ ( x , 5 x - 9 , - 13 x + 22 ) \}$
D) $\{ ( x , 5 x + 9 , - 13 x + 22 ) \}$