If the System Has Infinitely Many Solutions, Write the Solution

question 49

Multiple Choice

If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } \frac { 1 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = - \frac { 1 } { 3 } \\\frac { 1 } { x } - \frac { 1 } { y } - \frac { 4 } { z } = - \frac { 11 } { 6 } \\\frac { 4 } { x } + \frac { 1 } { y } + \frac { 1 } { z } = - \frac { 4 } { 3 }\end{array}$$

• A) \(\left\{ \left( - \frac { 1 } { 3 } , - \frac { 1 } { 2 } , \frac { 1 } { 2 } \right) \right\}\)
• B) \(\{ ( - 3 , - 2 , - 2 ) \}\)
• C) \(\{ ( 3,2,2 ) \}\)
• D) \(\{ ( - 3 , - 2,2 ) \}\)

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