Apply Gaussian Elimination to Systems with More Variables Than Equations $$\begin{array} { c } x + y + z = 9 \\2 x - 3 y + 4 z = 7\end{array}$$

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.
- $$\begin{array} { c } x + y + z = 9 \\2 x - 3 y + 4 z = 7\end{array}$$

A) $\left\{ \left( - \frac { 7 } { 5 } z + \frac { 34 } { 5 } , \frac { 2 } { 5 } z + \frac { 11 } { 5 } , z \right) \right\}$
B) $\left\{ \left( \frac { 3 } { 5 } z + \frac { 16 } { 5 } , - \frac { 8 } { 5 } z + \frac { 29 } { 5 } , z \right) \right\}$
C) $\left\{ \left( \frac { 27 } { 5 } , \frac { 13 } { 5 } , 1 \right) \right\}$
D) $\varnothing$