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If the System Has Infinitely Many Solutions, Write the Solution

Question 104

Multiple Choice

If the system has infinitely many solutions, write the solution set with x arbitrary.
- 1x+1y+1z=−11x−1y+6z=−1031x+1y+1z=−1\begin{array} { l } \frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = - 1 \\\frac { 1 } { x } - \frac { 1 } { y } + \frac { 6 } { z } = - \frac { 10 } { 3 } \\\frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = - 1\end{array}


A) {(−1,3,3) }\{ ( - 1,3,3 ) \}
B) {{−1,13,−13) }\left\{ \left\{ - 1 , \frac { 1 } { 3 } , - \frac { 1 } { 3 } \right) \right\}
C) {(1,−3,−3) }\{ ( 1 , - 3 , - 3 ) \}
D) {(−1,3,−3) }\{ ( - 1,3 , - 3 ) \}

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