Apply Gaussian Elimination to Systems with More Variables Than Equations $$\begin{array} { l } 5 x - y + z = 8 \\7 x + y + z = 6\end{array}$$

Multiple Choice

Apply Gaussian Elimination to Systems with More Variables than Equations
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { l } 5 x - y + z = 8 \\7 x + y + z = 6\end{array}$$

A) $\left\{ \left( - \frac { 1 } { 6 } z + \frac { 7 } { 6 } , \frac { 1 } { 6 } z - \frac { 13 } { 6 } , z \right) \right\}$
B) $\{ ( - \mathrm { z } + 3,4 \mathrm { z } + 7 , \mathrm { z } ) \}$
C) $\left\{ \left( \frac { 1 } { 6 } z + \frac { 7 } { 6 } , \frac { 1 } { 6 } z , z \right) \right\}$
D) $\varnothing$