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

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

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

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