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If the System Has Infinitely Many Solutions, Write the Solution

Question 390

Multiple Choice

If the system has infinitely many solutions, write the solution set with x arbitrary.
- 3x+8y+1z=238x+1y8z=61241x+1y+4z=58\begin{array} { l } \frac { 3 } { x } + \frac { 8 } { y } + \frac { 1 } { z } = - \frac { 2 } { 3 } \\\frac { 8 } { x } + \frac { 1 } { y } - \frac { 8 } { z } = \frac { 61 } { 24 } \\\frac { 1 } { x } + \frac { 1 } { y } + \frac { 4 } { z } = - \frac { 5 } { 8 }\end{array}


A) {(6,8,6) }\{ ( 6 , - 8 , - 6 ) \}

B) {{16,18,16) }\left\{ \left\{ \frac { 1 } { 6 } , - \frac { 1 } { 8 } , - \frac { 1 } { 6 } \right) \right\}

C) {{(16,18,16) }\left\{ \left\{ \left( \frac { 1 } { 6 } , - \frac { 1 } { 8 } , \frac { 1 } { 6 } \right) \right\} \right.

D) {(6,8,6) }\{ ( 6 , - 8,6 ) \}

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