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Use Gauss-Jordan Elimination to Solve the Linear System and Determine 5x+2y+z=112x3yz=177xy=12\begin{array} { r r } 5 x + 2 y + z & = - 11 \\2 x - 3 y - z & = 17 \\7 x - y & = 12\end{array}

Question 75

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.
- 5x+2y+z=112x3yz=177xy=12\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) ( - 2,0 , - 1 )
B) (1,5,0) ( 1 , - 5,0 )
C) no solution
D) (0,6,1) ( 0 , - 6,1 )

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