Use Gauss-Jordan Elimination to Solve the Linear System and Determine $$\begin{array} { l } x + y + z = 7 \\x - y + 2 z = 7\end{array}$$

Multiple Choice

Use Gauss-Jordan elimination to solve the linear system and determine whether the system has a unique solution, no solution, or infinitely many solutions. If the system has infinitely many solutions, describe the solution as an ordered
triple involving variable z.
- $$\begin{array} { l } x + y + z = 7 \\x - y + 2 z = 7\end{array}$$

A) $( 8 , - 3,2 )$
B) $( - 3 z + 14,2 z - 7 , z )$
C) $( 4,1,2 )$
D) $\left( - \frac { 3 } { 2 } z + 7 , \frac { 1 } { 2 } z , z \right)$