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Solve the System {3x3y+6z=3015x+15y30z=15012x12y+24z=120\left\{ \begin{array} { r r } 3 x - 3 y + 6 z = & - 30 \\- 15 x + 15 y - 30 z = & 150 \\12 x - 12 y + 24 z = & - 120\end{array} \right.

Question 19

Multiple Choice

Solve the system. If there is no solution or if the system's equations are dependent, so state.
- {3x3y+6z=3015x+15y30z=15012x12y+24z=120\left\{ \begin{array} { r r } 3 x - 3 y + 6 z = & - 30 \\- 15 x + 15 y - 30 z = & 150 \\12 x - 12 y + 24 z = & - 120\end{array} \right.


A) {(4,9,4) }\{ ( 4 , - 9 , - 4 ) \}
B) {(4,4,9) }\{ ( 4 , - 4 , - 9 ) \}
C) infinitely many solutions; dependent equations
D) no solution or \varnothing

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