Use Gauss-Jordan Elimination to Solve the Linear System and Determine $$\begin{array} { r r } 5 x + 2 y + z & = - 11 \\2 x - 3 y - z & = 17 \\7 x - y & = 12\end{array}$$

question 226

Multiple Choice

Use Gauss-Jordan elimination to solve the linear system and determine whether the system has a unique solution, no solution, or infinitely many solutions. If the system has infinitely many solutions, describe the solution as an ordered
triple involving variable z.
- $$\begin{array} { r r } 5 x + 2 y + z & = - 11 \\2 x - 3 y - z & = 17 \\7 x - y & = 12\end{array}$$

• A) \(( - 2,0 , - 1 )\)
• B) \(( 1 , - 5,0 )\)
• C) no solution
• D) \(( 0 , - 6,1 )\)

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