Solve the system using matrices.
-$$\begin{array} { l }
x + y + z = - 4 \
x - y + 4 z = 19 \
2 x + 2 y + 2 z = - 9
\end{array}$$
A)(5, -4, -5)
B)(5, -5, -4)
C)dependent system
D)inconsistent system

Question

Solve the system using matrices.
-$$\begin{array} { l } 
x + y + z = - 4 \
x - y + 4 z = 19 \
2 x + 2 y + 2 z = - 9
\end{array}$$
A)(5, -4, -5)
B)(5, -5, -4)
C)dependent system
D)inconsistent system

Quizplus · Accepted Answer

The system is inconsistent because the third equation is a multiple of the first equation, but with a different constant term, leading to a contradiction.

Solve the System Using Matrices x+y+z=−4x−y+4z=192x+2y+2z=−9\begin{array} { l } x + y + z = - 4 \\x - y + 4 z = 19 \\2 x + 2 y + 2 z = - 9\end{array}x+y+z=−4x−y+4z=192x+2y+2z=−9​

Solve the System Using Matrices $\begin{array} { l } x + y + z = - 4 \\x - y + 4 z = 19 \\2 x + 2 y + 2 z = - 9\end{array}$