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Solve the System −2x+y=2(z+7)−3x−4(−4y+2z)=−24(−2x−2z)=56−4y\begin{aligned}- 2 x + y & = 2 ( z + 7 ) \\- 3 x - 4 ( - 4 y + 2 z ) & = - 2 \\4 ( - 2 x - 2 z ) & = 56 - 4 y\end{aligned}

Question 90

Multiple Choice

Solve the system. If there is no unique solution, label the system as either dependent or inconsistent.
−2x+y=2(z+7) −3x−4(−4y+2z) =−24(−2x−2z) =56−4y\begin{aligned}- 2 x + y & = 2 ( z + 7 ) \\- 3 x - 4 ( - 4 y + 2 z ) & = - 2 \\4 ( - 2 x - 2 z ) & = 56 - 4 y\end{aligned}


A) (1,14,−1) ( 1,14 , - 1 )
B) (4,12,−5) ( 4,12 , - 5 )
C) Dependent system (infinitely many solutions)
D) Inconsistent system (no solution)

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