Solve the system.
-$$\left\{ \begin{aligned}
x + y + z & = - 5 \
x - y + 4 z & = - 18 \
2 x + 2 y + 2 z & = - 4
\end{aligned} \right.$$
A) $( 1 , - 1 , - 5 )$
B) $( - 5,1 , - 1 )$
C) $( - 5 , - 1,1 )$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The third equation is simply the first equation multiplied by 2, which means the system is dependent and does not have a unique solution.

Solve the System {x+y+z=−5x−y+4z=−182x+2y+2z=−4\left\{ \begin{aligned}x + y + z & = - 5 \\x - y + 4 z & = - 18 \\2 x + 2 y + 2 z & = - 4\end{aligned} \right.⎩⎨⎧​x+y+zx−y+4z2x+2y+2z​=−5=−18=−4​

Solve the System $\left\{ \begin{aligned}x + y + z & = - 5 \\x - y + 4 z & = - 18 \\2 x + 2 y + 2 z & = - 4\end{aligned} \right.$