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

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.
- $$\begin{array} { l } x + y + z = 7 \\x - y + 2 z = 7\end{array}$$

A) $\left\{ \left( - \frac { 3 } { 2 } z + 7 , \frac { 1 } { 2 } z , z \right) \right\}$
B) $\{ ( - 3 z + 14,2 z - 7 , z ) \}$
C) $\{ ( 4,1,2 ) \}$
D) $\{ ( 8 , - 3,2 ) \}$