Use Cramer's Rule to Solve the Linear System $$\left\{ \begin{array} { l } 9 x - 2 y - z = 64 \\x - 3 y - 3 z = - 27 \\- 6 x + y + z = - 42\end{array} \right.$$

question 96

Multiple Choice

Use Cramer's rule to solve the linear system.
- $$\left\{ \begin{array} { l } 9 x - 2 y - z = 64 \\x - 3 y - 3 z = - 27 \\- 6 x + y + z = - 42\end{array} \right.$$

• A) \(x = 10 , y = 3 , z = 7\)
• B) \(x = 9 , y = - 5 , z = - 7\)
• C) \(x = 5 , y = 7 , z = 5\)
• D) \(x = 9 , y = 5 , z = 7\)

---

Definitions:

Systemic Evolution

The process of significant and fundamental change in system structures, patterns, or dynamics over time.

Talcott Parsons

An influential American sociologist known for his development of action theory and for his contributions to the functionalist framework in sociology.

Primary Function

The main or most important purpose that an institution, structure, or system serves in society.

Integration

The process of bringing together diverse groups into a cohesive whole, often used in the context of social, cultural, or racial groups within a community or organization.