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Solve the System 0.8x=0.4y0.3z0.004x+0.007y0.002z=030x50y=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}

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.
- 0.8x=0.4y0.3z0.004x+0.007y0.002z=030x50y=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}


A) No solution; inconsistent
B) {(0,0,0) }\{ ( 0,0,0 ) \}
C) {(3,2,3) }\{ ( - 3 , - 2 , - 3 ) \}
D) Infinitely many solutions; dependent

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