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

question 115

Multiple Choice

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

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