Solve the System $$\begin{aligned}b + 5 c & = 7 \\12 a - c & = 18 \\- 6 a + 3 b & = - 19\end{aligned}$$

question 45

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.
- $$\begin{aligned}b + 5 c & = 7 \\12 a - c & = 18 \\- 6 a + 3 b & = - 19\end{aligned}$$

• A) \(\{ ( - 1,157 , - 30 ) \}\)
• B) No solution; inconsistent
• C) \(\left\{ \left( \frac { 5 } { 3 } , - 3,2 \right) \right\}\)
• D) \(\{ ( 2 , - 23,6 ) \}\)

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