Use Cramerʹs Rule to Solve the System of Equations $$\begin{array} { r } - 2 x - 6 y - z = - 18 \\x - 7 y + 8 z = 59 \\- 4 x + y + z = 1\end{array}$$

question 7

Multiple Choice

Use Cramerʹs rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { r } - 2 x - 6 y - z = - 18 \\x - 7 y + 8 z = 59 \\- 4 x + y + z = 1\end{array}$$

• A) \(\{ ( 2 , - 1 , - 8 ) \}\)
• B) \(\{ ( 1,8,1 ) \}\)
• C) \(\{ ( 2,1,8 ) \}\)
• D) \(\{ ( 3 , - 1,8 ) \}\)

---

Definitions:

Personality Traits

Enduring characteristics that describe an individual's behavior consistently across situations, such as extraversion or neuroticism.

Identical Twins

Twins who develop from a single fertilized egg that splits and forms two embryos, sharing 100% of their genes.

Environmental Influences

The impacts of the surrounding environment, including social, physical, and cultural factors, on an individual's behavior and development.

Fraternal Twins

Also known as dizygotic twins, are siblings that develop from two separate eggs fertilized by two different sperm cells, but are born at the same time.