Use Cramer's Rule to Solve the Following System of Linear $$\left\{ \begin{aligned}3 x - 6 z & = 8 \\- 6 y + 13 z & = 3 \\6 x + 15 z & = 0\end{aligned} \right.$$

question 239

Multiple Choice

Use Cramer's Rule to solve the following system of linear equations: $$\left\{ \begin{aligned}3 x - 6 z & = 8 \\- 6 y + 13 z & = 3 \\6 x + 15 z & = 0\end{aligned} \right.$$

• A) x = \(\frac { 40 } { 27 }\) , y = \(- \frac { 16 } { 27 }\) , z = \(- \frac { 289 } { 162 }\)
• B) x = \(\frac { 40 } { 27 }\) , y = \(- \frac { 289 } { 162 }\) , z = \(- \frac { 16 } { 27 }\)
• C) x = \(\frac { 27 } { 40 }\) , y = \(- \frac { 162 } { 289 }\) , z = \(- \frac { 27 } { 16 }\)
• D) x = \(\frac { 27 } { 40 }\) , y = \(- \frac { 289 } { 162 }\) , z = \(- \frac { 16 } { 27 }\)
• E) x = \(\frac { 40 } { 27 }\) , y = \(- \frac { 162 } { 289 }\) , z = \(- \frac { 16 } { 27 }\)

---

Definitions:

Aerobic Exercise

Physical activity that improves oxygen consumption by the body through increased heart rate and muscle movement, beneficial for cardiovascular health.

Premarital Cohabitation

The practice of living together in a romantic relationship without being married.

Institution of Marriage

A socially and legally recognized and regulated union between individuals that establishes rights and obligations between them.

Cooperativeness

Cooperativeness is the willingness of an individual or group to work together with others for a common goal, emphasizing teamwork and collaboration.