Determine whether the system is inconsistent, dependent, or neither.
-$$\begin{array} { l }
2 x + y = - 1 \
3 y - 4 z = - 25 \
2 x + 4 y - 4 z = - 26
\end{array}$$
A)dependent
B)inconsistent
C)neither

Question

Determine whether the system is inconsistent, dependent, or neither.
-$$\begin{array} { l } 
2 x + y = - 1 \
3 y - 4 z = - 25 \
2 x + 4 y - 4 z = - 26
\end{array}$$
A)dependent
B)inconsistent
C)neither

Quizplus · Accepted Answer

The system is dependent because the third equation is a combination of the first two equations, indicating that there are infinitely many solutions.

Determine Whether the System Is Inconsistent, Dependent, or Neither 2x+y=−13y−4z=−252x+4y−4z=−26\begin{array} { l } 2 x + y = - 1 \\3 y - 4 z = - 25 \\2 x + 4 y - 4 z = - 26\end{array}2x+y=−13y−4z=−252x+4y−4z=−26​

Determine Whether the System Is Inconsistent, Dependent, or Neither $\begin{array} { l } 2 x + y = - 1 \\3 y - 4 z = - 25 \\2 x + 4 y - 4 z = - 26\end{array}$