Use the Gauss-Jordan Method to Solve the System of Equations $3 x+y+z=5$

Use the Gauss-Jordan method to solve the system of equations.
- $3 x+y+z=5$
$4 \mathrm{x}+5 \mathrm{y}-\mathrm{z}=-8$
$10 \mathrm{x}+7 \mathrm{y}+\mathrm{z}=2$

A) $\left(\frac{6 z+33}{11}, \frac{7 z+44}{11}, z\right)$
B) $\left(\frac{6 z+33}{11}, \frac{7 z-44}{11}, z\right)$
C) $\left(\frac{-6 z+33}{11}, \frac{7 z-44}{11}, z\right)$
D) $\left(\frac{-6 z+33}{11}, \frac{-7 z-44}{11}, z\right)$