Find All Solutions of the System $$\left\{ \begin{array} { r } x + y + z = 12 \\2 x - y - z = - 5 \\6 x + 2 y + z = 30\end{array} \right.$$

question 4

Multiple Choice

Find all solutions of the system. $$\left\{ \begin{array} { r } x + y + z = 12 \\2 x - y - z = - 5 \\6 x + 2 y + z = 30\end{array} \right.$$

• A) \(\left( \frac { 10 } { 3 } , \frac { 16 } { 3 } , \frac { 10 } { 3 } \right)\)
• B) \(\left( 19 , \frac { 10 } { 3 } , \frac { 7 } { 3 } \right)\)
• C) \(\left( \frac { 7 } { 3 } , \frac { 19 } { 3 } , \frac { 10 } { 3 } \right)\)
• D) \(\text { The system is dependent. }\)
• E) \(\text { The system is inconsistent. }\)

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