Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } 2 x - 2 y + 3 z = - 7 \\x + 2 y - z = 10 \\2 y + z = 1\end{array}$$

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.
- $$\begin{array} { l } 2 x - 2 y + 3 z = - 7 \\x + 2 y - z = 10 \\2 y + z = 1\end{array}$$

A) $\varnothing$

B) $\{ ( 3,11 , - 11 ) \}$

C) $\{ ( - 3,2,9 ) \}$

D) $\{ ( 3,2 , - 3 ) \}$