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Solve the System 3x+2y6z=153y+6z=214z=32\begin{aligned}3 x + 2 y - 6 z & = - 15 \\- 3 y + 6 z & = 21 \\4 z & = 32\end{aligned}

Question 135

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.
- 3x+2y6z=153y+6z=214z=32\begin{aligned}3 x + 2 y - 6 z & = - 15 \\- 3 y + 6 z & = 21 \\4 z & = 32\end{aligned}


A) {(0,0,0) }\{ ( 0,0,0 ) \}
B) {(3,3,2) }\{ ( - 3,3,2 ) \}
C) Infinitely many solutions; dependent
D) {(5,9,8) }\{ ( 5,9,8 ) \}

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