Find All Real Solutions to the System of Equations Using $\begin{array} { l } x y - x ^ { 2 } = - 20 \\x - 2 y = 3\end{array}$

question 43

Multiple Choice

Find all real solutions to the system of equations using the substitution method.
- $\begin{array} { l } x y - x ^ { 2 } = - 20 \\x - 2 y = 3\end{array}$

• A) \(( - 5 , - 1 ) , \left( 8 , \frac { 11 } { 2 } \right)\)
• B) \(( - 5 , - 1 ) , \left( \frac { 11 } { 2 } , 8 \right)\)
• C) \(( 5,1 ) , \left( - 8 , - \frac { 11 } { 2 } \right)\)
• D) \(( 5,1 ) , \left( - \frac { 11 } { 2 } , - 8 \right)\)

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Definitions:

Subsidy

is financial assistance provided by the government to individuals or groups to support an economic activity deemed beneficial.

Revealed Preferred

A concept in consumer choice theory that preferences can be determined by observing consumer choices under different constraints.

Violates WARP

Refers to a situation where an individual's choice behavior contradicts the Weak Axiom of Revealed Preferences, suggesting inconsistency in their preferences.

Bundle

A combination of goods or services that are sold or consumed together.