Solve the System $$\begin{array} { l } - 2 x - 5 y + 6 z = 11 \\- x - 2 y - 7 z = - 25 \\7 x + 5 y - 7 z = 16\end{array}$$

question 81

Multiple Choice

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
- $$\begin{array} { l } - 2 x - 5 y + 6 z = 11 \\- x - 2 y - 7 z = - 25 \\7 x + 5 y - 7 z = 16\end{array}$$

• A) Infinitely many solutions; dependent
• B) \(\{ ( 6 , - 1,3 ) \}\)
• C) No solution; inconsistent
• D) \(\{ ( 25,0,0 ) \}\)

Comprehend the relationship between demand elasticity and revenue changes.

Understand the characteristics and objectives of scientific inquiry.

Identify the role of intuition, authority, and skepticism in scientific research.

Recognize the importance of empiricism and falsifiability in the scientific method.

---

Definitions:

Biological Parents

The individuals whose genetic material an offspring inherits; encompasses both the biological mother and father.

Terman

Lewis Terman, an American psychologist best known for his work in intelligence testing and the study of giftedness.

Gifted Kids

Children who exhibit a high level of capability in intellectual, creative, artistic, or leadership areas in comparison to their peers.

Several Decades

A period of many years, often used to describe a long time frame in history or a person’s life.