Solve the system. If there is no unique solution, label the system as either dependent or inconsistent.
$$\begin{aligned}
- 0.4 x + 0.5 y & = - 3.7 \
0.3 y - 0.1 z & = - 1.1 \
- 0.1 x + 0.5 z & = - 2.3
\end{aligned}$$
A) $( 3 , - 5 , - 3 )$
B) $( 3 , - 5 , - 4 )$
C) $( 6 , - 5 , - 4 )$
D) Dependent system (infinitely many solutions)

Question

Quizplus · Accepted Answer

Substituting $ x = 3 $, $ y = -5 $, and $ z = -4 $ into the equations satisfies all three, indicating a unique solution.

Solve the System −0.4x+0.5y=−3.70.3y−0.1z=−1.1−0.1x+0.5z=−2.3\begin{aligned}- 0.4 x + 0.5 y & = - 3.7 \\0.3 y - 0.1 z & = - 1.1 \\- 0.1 x + 0.5 z & = - 2.3\end{aligned}−0.4x+0.5y0.3y−0.1z−0.1x+0.5z​=−3.7=−1.1=−2.3​

Solve the System $\begin{aligned}- 0.4 x + 0.5 y & = - 3.7 \\0.3 y - 0.1 z & = - 1.1 \\- 0.1 x + 0.5 z & = - 2.3\end{aligned}$