Solve the System by the Substitution Method $$\begin{array} { l } x - 2 y = 3 \\x ^ { 2 } - x y = 20\end{array}$$

question 26

Multiple Choice

Solve the system by the substitution method.
- $$\begin{array} { l } x - 2 y = 3 \\x ^ { 2 } - x y = 20\end{array}$$

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

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Definitions:

Marginal Rate Of Substitution

The rate at which a consumer is willing to trade one good for another while maintaining the same level of utility.

Marginal Rate Of Transformation

The rate at which one good must be sacrificed to produce one additional unit of another good, holding technology and resources constant.

Economic Outcome

The result of economic activities, often measured in terms of growth, employment, and inflation.

Quantity Supplied

The total amount of a good or service that producers are willing and able to sell at a given price in a specific time period.