Solve the System for X and Y Using Cramer's Rule $\begin{array} { l } x + \frac { 1 } { a } y = a \\\frac { 1 } { b } x + y = b\end{array}$

question 470

Multiple Choice

Solve the system for x and y using Cramer's rule. Assume a and b are nonzero constants.
$\begin{array} { l } x + \frac { 1 } { a } y = a \\\frac { 1 } { b } x + y = b\end{array}$

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

---

Definitions:

Managerial Discretion

The degree of freedom managers have in making decisions without needing direct approval from higher-ups.

Fraudulent Conduct

Deceptive actions or behavior intended to gain an unfair advantage or to deceive others, often leading to financial or personal loss for the victim.

Voting Power

The total number of votes shareholdings represent, allowing shareholders influence over corporate decisions.

Nonprofit Corporation

An organization established for purposes other than making a profit, often eligible for favorable tax treatment.