Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array}{l}x+y+z=7 \\x-y+2 z=7 \\2 x+3 z=14\end{array}$$

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations.
- $$\begin{array}{l}x+y+z=7 \\x-y+2 z=7 \\2 x+3 z=14\end{array}$$

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