Determine whether the system is inconsistent, dependent, or neither.
-$$\left\{ \begin{array} { l }
3 x + y - 3 z = - 2 \
- x - 3 y + 2 z = - 3 \
- 4 x - 4 y + 5 z = - 1
\end{array} \right.$$
A) dependent
B) neither
C) inconsistent

Question

Determine whether the system is inconsistent, dependent, or neither.
-$$\left\{ \begin{array} { l } 
3 x + y - 3 z = - 2 \
- x - 3 y + 2 z = - 3 \
- 4 x - 4 y + 5 z = - 1
\end{array} \right.$$
A) dependent
B) neither
C) inconsistent

Quizplus · Accepted Answer

The system is dependent because the third equation is a linear combination of the first two equations.

Determine Whether the System Is Inconsistent, Dependent, or Neither {3x+y−3z=−2−x−3y+2z=−3−4x−4y+5z=−1\left\{ \begin{array} { l } 3 x + y - 3 z = - 2 \\- x - 3 y + 2 z = - 3 \\- 4 x - 4 y + 5 z = - 1\end{array} \right.⎩⎨⎧​3x+y−3z=−2−x−3y+2z=−3−4x−4y+5z=−1​

Determine Whether the System Is Inconsistent, Dependent, or Neither $\left\{ \begin{array} { l } 3 x + y - 3 z = - 2 \\- x - 3 y + 2 z = - 3 \\- 4 x - 4 y + 5 z = - 1\end{array} \right.$