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Solve the System 8x+6yz=24xy+2z=116x12y+2z=0\begin{array} { l } 8 x + 6 y - z = - 2 \\4 x - y + 2 z = 1 \\- 16 x - 12 y + 2 z = 0\end{array}

Question 446

Multiple Choice

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
- 8x+6yz=24xy+2z=116x12y+2z=0\begin{array} { l } 8 x + 6 y - z = - 2 \\4 x - y + 2 z = 1 \\- 16 x - 12 y + 2 z = 0\end{array}


A) {x,1343x,28x) }\left. \left\{ x , - \frac { 1 } { 3 } - \frac { 4 } { 3 } x , - 2 - 8 x \right) \right\}
B) {(x,122x,4x1) }\left\{ \left( x , \frac { 1 } { 2 } - 2 x , 4 x - 1 \right) \right\}
C) {(0,0) }\{ ( 0,0 ) \}
D) \varnothing

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