Solve the system. $\left\{ \begin{array} { l }
4 x + 3 y = 5 - 2 z \
2 x = 3 y + 4 z - 4 \
8 x + 6 y + 4 z = 10
\end{array} \right.$
A) $( 5,0,2 )$
B) $( 5 , - 1 , - 2 )$
C) $( 5,0 , - 2 )$
D) The system is inconsistent.
E) The equations are dependent.

Question

Solve the system. $\left\{ \begin{array} { l } 
4 x + 3 y = 5 - 2 z \
2 x = 3 y + 4 z - 4 \
8 x + 6 y + 4 z = 10
\end{array} \right.$
A) $( 5,0,2 )$
B) $( 5 , - 1 , - 2 )$
C) $( 5,0 , - 2 )$
D) The system is inconsistent.
E) The equations are dependent.

Quizplus · Accepted Answer

The third equation is a multiple of the first equation (doubled), indicating the equations are dependent.

Solve the System {4x+3y=5−2z2x=3y+4z−48x+6y+4z=10\left\{ \begin{array} { l } 4 x + 3 y = 5 - 2 z \\2 x = 3 y + 4 z - 4 \\8 x + 6 y + 4 z = 10\end{array} \right.⎩⎨⎧​4x+3y=5−2z2x=3y+4z−48x+6y+4z=10​

Solve the System $\left\{ \begin{array} { l } 4 x + 3 y = 5 - 2 z \\2 x = 3 y + 4 z - 4 \\8 x + 6 y + 4 z = 10\end{array} \right.$