Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array}{l}5 x-y+z=8 \\7 x+y+z=6 \\12 x+2 z=14\end{array}$$

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations.
- $$\begin{array}{l}5 x-y+z=8 \\7 x+y+z=6 \\12 x+2 z=14\end{array}$$

A) $\left(\frac{-z+7}{6}, \frac{z-13}{6}, z\right)$
B) $\left(\frac{z+7}{6}, \frac{-z-13}{6}, z\right)$
C) $\left(\frac{-z+7}{6}, \frac{z+13}{6}, z\right)$
D) $\left(\frac{z-7}{6}, \frac{-z-13}{6}, z\right)$