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 9

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:

Calcium

A chemical element important for bone and teeth health, muscle function, and nerve signaling.

Lean-Body Mass

The portion of body composition that is made up of muscles, organs, bones, and other tissues excluding body fat.

Racial

Pertaining to race or races, often used in contexts discussing diversity, discrimination, or characteristics attributed to different ethnic groups.

Ethnic

Pertaining to a group of people who identify with each other based on common ancestral, social, cultural, or national experiences.