Solve the System $\left\{ \begin{array} { l } 8 a - 3 b = 1 \\6 a - 10 c = 1 \\3 b - 12 c = 0\end{array} \right.$

question 185

Multiple Choice

Solve the system. Give your answer as an ordered triple in the form of ( a, b, c ) .
$\left\{ \begin{array} { l } 8 a - 3 b = 1 \\6 a - 10 c = 1 \\3 b - 12 c = 0\end{array} \right.$

• A) \(\left( - \frac { 1 } { 4 } , 1 , - \frac { 1 } { 4 } \right)\)
• B) \(\left( \frac { 1 } { 4 } , - 1 , \frac { 1 } { 4 } \right)\)
• C) \(\left( - \frac { 1 } { 4 } , - 1 , - \frac { 1 } { 4 } \right)\)
• D) The system is inconsistent.
• E) The equations are dependent.

---

Definitions:

Optimal

Refers to the most favorable or desirable condition, level, or outcome in a given situation.

Information Overload

The state of being overwhelmed by the vast amount of information available, making it difficult to make decisions or focus.

Sustainability

The ability to maintain or improve certain processes, systems, or materials indefinitely without depleting resources or harming natural cycles.

Social Commerce

The integration of online social networks with e-commerce, enabling the buying and selling of products and services directly through social media platforms.