Solve the System for X and Y Using Cramer's Rule $$\begin{array} { l } x + b y = a ^ { 2 } \\a x + y = b ^ { 2 }\end{array}$$

question 17

Multiple Choice

Solve the system for x and y using Cramer's rule. Assume a and b are nonzero constants.
- $$\begin{array} { l } x + b y = a ^ { 2 } \\a x + y = b ^ { 2 }\end{array}$$

• A) \(\left\{ \left( - \frac { a ^ { 2 } - b ^ { 3 } } { a b } , - \frac { b ^ { 2 } - a ^ { 3 } } { a b } \right) \right\}\)
• B) \(\left\{ \left\{ \frac { a ^ { 2 } - b ^ { 3 } } { a + b } , \frac { a ^ { 2 } - b ^ { 3 } } { a + b } \right) \right\}\)
• C) \(\left\{ \left\{ \frac { \mathrm { b } ^ { 3 } } { 1 - \mathrm { ab } } , \frac { \mathrm { a } ^ { 3 } } { 1 - \mathrm { ab } } \right) \right\}\)
• D) \(\left\{ \left\{ \frac { a ^ { 2 } - b ^ { 3 } } { 1 - a b } , \frac { b ^ { 2 } - a ^ { 3 } } { 1 - a b } \right) \right\}\)

---

Definitions:

Well-Designed Jobs

Positions that are structured to effectively balance workload, offer clear responsibilities, and align with the employee's skills and interests, leading to increased satisfaction and productivity.

Employee Output

This term refers to the quantity and quality of work produced by an employee within a given time period.

Organizational Productivity

The measure of how efficiently and effectively a company or organization utilizes its resources to achieve its goals.

Job Description Approval

The process by which a job description is formally reviewed and ratified by relevant authorities or departments within an organization.