Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { c } 3 x - y + 3 z = 28 \\7 x + 4 z = 65 \\8 y + z = 44\end{array}$$

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.
- $$\begin{array} { c } 3 x - y + 3 z = 28 \\7 x + 4 z = 65 \\8 y + z = 44\end{array}$$

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