Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } x + 3 y - 2 z - w = 18 \\4 x + y + z + 2 w = 22 \\- 3 x - y - 3 z - 2 w = - 11 \\x - y - 3 z - 2 w = 1\end{array}$$

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.
- $$\begin{array} { l } x + 3 y - 2 z - w = 18 \\4 x + y + z + 2 w = 22 \\- 3 x - y - 3 z - 2 w = - 11 \\x - y - 3 z - 2 w = 1\end{array}$$

A) $\{ ( 3,4 , - 4,5 ) \}$
B) $\{ ( 3 + w , 4 - 2 w , - 4 + 2 w , w ) \}$
C) $\{ ( 2,6 , - 8,7 ) \}$
D) $\{ ( 18,22 , - 11,1 ) \}$