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) \(\{ ( 2 , - 23,6 ) \}\)

---

Definitions:

Stress

A psychological and physical response to external or internal demands that are perceived as challenging or threatening.

Approach-Avoidance Conflicts

Psychological conflicts arising when a single goal or situation has both appealing and unappealing aspects.

Behavioural Responses

The observable reactions or actions of an organism in response to external or internal stimuli.

Vacillation

The state of being unable to make a choice among various viewpoints or courses of action; hesitation.