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Find All Solutions of the System {−x+y+z+w=122y−z−w=72z+5w=1811w=44\left\{ \begin{aligned}- x + y + z + w & = 12 \\2 y - z - w & = 7 \\2 z + 5 w & = 18 \\11 w & = 44\end{aligned} \right.

Question 8

Multiple Choice

Find all solutions of the system. {−x+y+z+w=122y−z−w=72z+5w=1811w=44\left\{ \begin{aligned}- x + y + z + w & = 12 \\2 y - z - w & = 7 \\2 z + 5 w & = 18 \\11 w & = 44\end{aligned} \right.


A) (4,1,−5,−4) ( 4,1 , - 5 , - 4 )
B) (−4,5,−1,4) ( - 4,5 , - 1,4 )
C) (5,−1,−4,4) ( 5 , - 1 , - 4,4 )
D)  The system is dependent. \text { The system is dependent. }
E)  The system is inconsistent. \text { The system is inconsistent. }

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