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

question 90

Multiple Choice

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

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

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