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Use the Gauss-Jordan Method to Solve the System of Equations −4x−7y−z=−67x+6y−2z=209x+y+z=67\begin{array} { c } - 4 x - 7 y - z = - 67 \\x + 6 y - 2 z = 20 \\9 x + y + z = 67\end{array}

Question 151

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last
variable be the arbitrary variable.
- −4x−7y−z=−67x+6y−2z=209x+y+z=67\begin{array} { c } - 4 x - 7 y - z = - 67 \\x + 6 y - 2 z = 20 \\9 x + y + z = 67\end{array}


A) ∅\varnothing
B) {(6,5,8) }\{ ( 6,5,8 ) \}
C) {(−6,5,12) }\{ ( - 6,5,12 ) \}
D) {(6,8,5) }\{ ( 6,8,5 ) \}

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