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)

Question

Quizplus · Accepted Answer

The Answer of 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)

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}−2x+y−3x−4(−4y+2z)4(−2x−2z)​=2(z+7)=−2=56−4y​

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