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Solve the System 2x+y=2(z+7)3x4(4y+2z)=24(2x2z)=564y\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) 3x4(4y+2z) =24(2x2z) =564y\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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