Use Cramer's Rule to Solve (If Possible)the System of Equations $$\left\{ \begin{array} { r } 6 x - 5 y = 23 \\- 13 x + 3 y = - 89\end{array} \right.$$

question 46

Multiple Choice

Use Cramer's Rule to solve (if possible) the system of equations.? $$\left\{ \begin{array} { r } 6 x - 5 y = 23 \\- 13 x + 3 y = - 89\end{array} \right.$$ ?

• A)(-8,-5)
• B)(8,-5)
• C)(-8,5)
• D)(8,5)
• E)(5,8)

---

Definitions:

Utility Function

An economic concept that quantifies an individual's satisfaction or happiness, derived from consuming goods and services, represented through a formula.

Indifference Curves

A graph representing different bundles of goods between which a consumer is indifferent, showing the combinations that yield the same level of utility to the consumer.

Engel Curve

Represents the relationship between a consumer's income and the consumption of a particular good, illustrating how purchasing habits change with varying income levels.

Utility Function

A mathematical representation that ranks an individual's preferences for different bundles of goods or outcomes, based on the level of satisfaction or utility they provide.