Find the Solution or Solutions, If Any Exist, to the System

question 3

Multiple Choice

Find the solution or solutions, if any exist, to the system.
- $$\left\{ \begin{array} { l } x + y + z = 7 \\x - y + 2 z = 7\end{array} \right.$$

• A) infinitely many solutions of the form \(x = 7 - \frac { 3 } { 2 } z , y = \frac { 1 } { 2 } z , z = z\)
• B) infinitely many solutions of the form \(x = - 7 - \frac { 3 } { 2 } z , y = \frac { 1 } { 2 } z , z = z\)
• C) infinitely many solutions of the form \(x = - 7 - \frac { 3 } { 2 } z , y = 2 z , z = z\)
• D) infinitely many solutions of the form \(x = 7 - \frac { 3 } { 2 } z , y = 2 z , z = z\)

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Definitions:

Paul Lawrence

Paul Lawrence was a renowned professor at Harvard Business School, known for his contributions to organizational behavior and the human relations movement.

Jay Lorsch

is a prominent figure in organizational behavior and corporate governance, known for his contributions to understanding organizational structure and effectiveness.

Organic Designs

An organizational structure characterized by flexibility, decentralized decision-making, and a lack of rigid protocols.

Mechanistic Designs

Organizational structures characterized by rigid hierarchies, clear job responsibilities, and a focus on efficiency and predictability.