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Find the Complete Solution of the System {x+z=4y+2z=1y+z=0\left\{ \begin{array} { l } x + z = 4 \\y + 2 z = 1 \\- y + z = 0\end{array} \right.

Question 40

Multiple Choice

Find the complete solution of the system. {x+z=4y+2z=1y+z=0\left\{ \begin{array} { l } x + z = 4 \\y + 2 z = 1 \\- y + z = 0\end{array} \right.


A) x=113x = \frac { 11 } { 3 } , y=13y = \frac { 1 } { 3 } , z=13z = \frac { 1 } { 3 }

B) x=113x = \frac { 11 } { 3 } , y=43y = \frac { 4 } { 3 } , z=13z = \frac { 1 } { 3 }

C) x=113x = \frac { 11 } { 3 } , y=13y = \frac { 1 } { 3 } , z=23z = - \frac { 2 } { 3 }

D) x=3x = 3 , y=1y = 1 , z=11z = 11

E) no solution

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