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If the System Has Infinitely Many Solutions, Write the Solution

Question 456

Multiple Choice

If the system has infinitely many solutions, write the solution set with x arbitrary.
- 1x+1y1z=1312809x1y+2z=1632801x6y+4z=499280\begin{array} { c } \frac { 1 } { x } + \frac { 1 } { y } - \frac { 1 } { z } = - \frac { 131 } { 280 } \\\frac { 9 } { x } - \frac { 1 } { y } + \frac { 2 } { z } = - \frac { 163 } { 280 } \\- \frac { 1 } { x } - \frac { 6 } { y } + \frac { 4 } { z } = \frac { 499 } { 280 }\end{array}


A) {(8,7,5) }\{ ( - 8 , - 7 , - 5 ) \}
B) {(18,17,15) }\left\{ \left( - \frac { 1 } { 8 } , - \frac { 1 } { 7 } , \frac { 1 } { 5 } \right) \right\}
C) {{18,17,15) }\left\{ \left\{ - \frac { 1 } { 8 } , - \frac { 1 } { 7 } , - \frac { 1 } { 5 } \right) \right\}
D) {(8,7,5) }\{ ( - 8 , - 7,5 ) \}

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