Solve the System of Equations Using Substitution $$\left\{ \begin{array} { l } x y - x ^ { 2 } = - 20 \\x - 2 y = 3\end{array} \right.$$

question 85

Multiple Choice

Solve the system of equations using substitution.
- $$\left\{ \begin{array} { l } x y - x ^ { 2 } = - 20 \\x - 2 y = 3\end{array} \right.$$

• A) \(x = - 5 , y = - 1 ; x = 8 , y = \frac { 11 } { 2 }\)
• B) \(x = - 5 , y = - 1 ; x = \frac { 11 } { 2 } , y = 8\)
• C) \(x = 5 , y = 1 ; x = - \frac { 11 } { 2 } , y = - 8\)
• D) \(x = 5 , y = 1 ; x = - 8 , y = - \frac { 11 } { 2 }\)

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Definitions:

Price Setter

An entity, often a dominant firm or a monopoly, that has the ability to influence the market price of goods or services rather than being a price taker.

Price Taker

An individual or company that must accept prevailing prices in the market, having no influence over them.

Perfect Competition

A market structure characterized by a large number of small firms, a homogeneous product, and very easy entry and exit, leading to firms being price takers.

Natural Monopoly

A market condition where a single firm can supply a product or service at a lower cost than two or more firms, due to economies of scale.