Solve the System $$\begin{array} { l } 2 x + 2 y - 3 z = 3 \\- 5 x - 2 y + 5 z = 14 \\- 8 x - 2 y + 7 z = 31\end{array}$$

question 79

Multiple Choice

Solve the system. If there is more than one solution, write the general solution.
- $$\begin{array} { l } 2 x + 2 y - 3 z = 3 \\- 5 x - 2 y + 5 z = 14 \\- 8 x - 2 y + 7 z = 31\end{array}$$

• A) No solution; inconsistent
• B) \(\{ ( - 3 , - 3 , - 5 ) \}\)
• C) \(\left\{ \left[ x , \frac { 5 } { 4 } x + \frac { 57 } { 4 } , \frac { 3 } { 2 } x + \frac { 17 } { 2 } \mid x \right. \right.\) is any real number \(\left. \} \right\}\)
• D) \(\{ ( - 3 , - 4 , - 4 ) \}\)

Recognize the critical role of employee empowerment in effective leadership.

Appreciate the importance of delegation in leadership and management.

Understand the concepts of Theory X and Theory Y management and their relevance to empowerment.

Grasp the significance of leadership in environments requiring high levels of creativity and innovation.

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Definitions:

Accounting Equation

The foundational principle of double-entry bookkeeping, stating that assets equal liabilities plus shareholders' equity.

Components

Elements or parts that combine to form a larger product or system.

Net Profit Margin Ratio

A profitability metric that shows the percentage of revenue that remains as net income after all expenses have been deducted.

Net Income

The total earnings of a company after accounting for all expenses and taxes, reflecting the company's profitability.