Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } x - z = 5 \\y + z = 2 \\x + z = 9\end{array}$$

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.
- $$\begin{array} { l } x - z = 5 \\y + z = 2 \\x + z = 9\end{array}$$

A) $\{ ( 14,0,4 ) \}$
B) $\{ ( 2,5 , - 3 ) \}$
C) $\{ ( 7,0,2 ) \}$
D) $\{ ( 5,2,0 ) \}$