Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { c } - 4 x - y - 2 z = - 51 \\- 6 x \quad + 9 z = - 27 \\9 y + z = 84\end{array}$$

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.
- $$\begin{array} { c } - 4 x - y - 2 z = - 51 \\- 6 x \quad + 9 z = - 27 \\9 y + z = 84\end{array}$$

A) $\{ ( - 9,9,18 ) \}$
B) $\{ ( 9,9,3 ) \}$
C) $\varnothing$
D) $\{ ( 9,3,9 ) \}$