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

question 321

Multiple Choice

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

• A) \(\left\{ \left( \frac { a + b } { a } , \frac { b - a } { b } \right) \right\}\)
• B) \(\left\{ \left( \frac { a + b } { a } , - \frac { a } { b } \right) \right\}\)
• C) \(\left\{ \left( \frac { a + b } { a } , \frac { a } { b } \right) \right\}\)
• D) \(\left\{ \left( \frac { a - b } { a } , - \frac { a } { b } \right) \right\}\)

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Definitions:

Completeness

In economics, completeness refers to a property of preferences indicating that any two bundles of goods can be compared, allowing for decisions on which is preferred or if they are equally desirable.

Transitivity

A principle in decision making that if option A is preferred over B, and B is preferred over C, then A should be preferred over C.

Marginal Utility

The extra pleasure or advantage obtained from using an additional unit of a product or service.

Potato Chips

A popular snack made from thin slices of potatoes that are fried or baked until crispy, often seasoned with various flavors.