Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } 4 x - y + 5 z = 71 \\6 x + 9 y + 3 z = 123 \\8 x - 9 y + z = 35\end{array}$$

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.
- $$\begin{array} { l } 4 x - y + 5 z = 71 \\6 x + 9 y + 3 z = 123 \\8 x - 9 y + z = 35\end{array}$$

A) $\{ ( 9,5,8 ) \}$
B) $\{ ( - 9,5,18 ) \}$
C) $\{ ( 9,8,5 ) \}$
D) $\varnothing$