Determine Whether the Two Systems of Linear Equations Yield the Same

question 43

Multiple Choice

Determine whether the two systems of linear equations yield the same solutions. If so, find the solutions using matrices. $\left\{ \begin{aligned}x - 7 y - 2 z & = 43 \\y + 2 z & = - 14 \\z & = - 4\end{aligned} \right.$ $\left\{ \begin{aligned}x + 2 y + 3 z & = - 27 \\y - 2 z & = 2 \\z & = - 4\end{aligned} \right.$

• A)x = -7, y = -6, z = -4
• B)x = 7, y = 6, z = -4
• C)x = 6, y = -4, z = -7
• D)x = -6, y = -4, z = -7
• E)The systems yield different solutions.

---

Definitions:

Bureaucracy

An organizational structure characterized by hierarchical authority, formal rules, and a focus on procedure.

Impersonality

A characteristic of systems or processes where decisions and actions are based on objective criteria, rather than on personal relationships or biases.

Organizations as Communities

A concept that views organizations as social entities built on patterns of relationships, shared values, and cultural practices.

Managerial Theory

A set of ideas and principles that guide managers on how to effectively organize, lead, and make decisions within an organization.