Solve the system of equations.
-$$\begin{array} { l }
- 1 + 4 z = 3 ( x - 4 y ) \
2 ( x - 3 y - z ) = 0 \
- 4 ( 2 x + y ) + 4 z = - 20
\end{array}$$
A) $\{ ( 1,3 , - 2 ) \}$
B) $\{ ( 1,1 , - 2 ) \}$
C) $\{ ( 1,2 , - 4 ) \}$
D) $\{ ( 1 , - 4 , - 2 ) \}$

Question

Solve the system of equations.
-$$\begin{array} { l } 
- 1 + 4 z = 3 ( x - 4 y ) \
2 ( x - 3 y - z ) = 0 \
- 4 ( 2 x + y ) + 4 z = - 20
\end{array}$$
A) $\{ ( 1,3 , - 2 ) \}$
B) $\{ ( 1,1 , - 2 ) \}$
C) $\{ ( 1,2 , - 4 ) \}$
D) $\{ ( 1 , - 4 , - 2 ) \}$

Quizplus · Accepted Answer

Substitute $x = 1$, $y = 1$, and $z = -2$ into all three equations to verify that they hold true.

Solve the System of Equations −1+4z=3(x−4y)2(x−3y−z)=0−4(2x+y)+4z=−20\begin{array} { l } - 1 + 4 z = 3 ( x - 4 y ) \\2 ( x - 3 y - z ) = 0 \\- 4 ( 2 x + y ) + 4 z = - 20\end{array}−1+4z=3(x−4y)2(x−3y−z)=0−4(2x+y)+4z=−20​

Solve the System of Equations $\begin{array} { l } - 1 + 4 z = 3 ( x - 4 y ) \\2 ( x - 3 y - z ) = 0 \\- 4 ( 2 x + y ) + 4 z = - 20\end{array}$