Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian $$\begin{array} { r } 5 x + 2 y + z = - 11 \\2 x - 3 y - z = 17 \\7 x - y = 12\end{array}$$

Multiple Choice

Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { r } 5 x + 2 y + z = - 11 \\2 x - 3 y - z = 17 \\7 x - y = 12\end{array}$$

A) $\varnothing$
B) $\{ ( 0 , - 6,1 ) \}$
C) $\{ ( - 2,0 , - 1 ) \}$
D) $\{ ( 1 , - 5,0 ) \}$