Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
-$$\begin{array} { l }
0.8 x = 0.4 y - 0.3 z \
0.004 x + 0.007 y - 0.002 z = 0 \
30 x - 50 y = 60 z
\end{array}$$
A) No solution; inconsistent
B) $\{ ( 0,0,0 ) \}$
C) $\{ ( - 3 , - 2 , - 3 ) \}$
D) Infinitely many solutions; dependent

Question

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
-$$\begin{array} { l } 
0.8 x = 0.4 y - 0.3 z \
0.004 x + 0.007 y - 0.002 z = 0 \
30 x - 50 y = 60 z
\end{array}$$
A) No solution; inconsistent
B) $\{ ( 0,0,0 ) \}$
C) $\{ ( - 3 , - 2 , - 3 ) \}$
D) Infinitely many solutions; dependent

Quizplus · Accepted Answer

The system has one unique solution, which is $( 0,0,0 )$.

Solve the System 0.8x=0.4y−0.3z0.004x+0.007y−0.002z=030x−50y=60z\begin{array} { l } 0.8 x = 0.4 y - 0.3 z \\0.004 x + 0.007 y - 0.002 z = 0 \\30 x - 50 y = 60 z\end{array}0.8x=0.4y−0.3z0.004x+0.007y−0.002z=030x−50y=60z​

Solve the System $\begin{array} { l } 0.8 x = 0.4 y - 0.3 z \\0.004 x + 0.007 y - 0.002 z = 0 \\30 x - 50 y = 60 z\end{array}$