Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } 6 x - y - 6 z = - 16 \\9 x + 9 y + 3 z = 114 \\- 3 x - 5 y + z = - 30\end{array}$$

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last
variable be the arbitrary variable.
- $$\begin{array} { l } 6 x - y - 6 z = - 16 \\9 x + 9 y + 3 z = 114 \\- 3 x - 5 y + z = - 30\end{array}$$

A) $\{ ( 6,8,4 ) \}$
B) $\{ ( 6,4,8 ) \}$
C) $\varnothing$
D) $\{ ( - 6,4,12 ) \}$