Solve Systems of Linear Equations in Three Variables
-$$\begin{aligned}
x + y + z & = - 9 \
x - y + 4 z & = - 9 \
2 x + 2 y + 2 z & = - 13
\end{aligned}$$
A) $\{ ( - 4 , - 3 , - 2 ) \}$
B) $\{ ( - 2 , - 3 , - 4 ) \}$
C) $\{ ( - 2 , - 4 , - 3 ) \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The system of equations is inconsistent because the third equation is not a multiple of the first equation, leading to a contradiction when solving.

Solve Systems of Linear Equations in Three Variables - x+y+z=−9x−y+4z=−92x+2y+2z=−13\begin{aligned}x + y + z & = - 9 \\x - y + 4 z & = - 9 \\2 x + 2 y + 2 z & = - 13\end{aligned}x+y+zx−y+4z2x+2y+2z​=−9=−9=−13​

Solve Systems of Linear Equations in Three Variables
- $\begin{aligned}x + y + z & = - 9 \\x - y + 4 z & = - 9 \\2 x + 2 y + 2 z & = - 13\end{aligned}$