Solve the System of Equations Using Elimination $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 64 \\\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 9 } = 1\end{array} \right.$$

question 140

Multiple Choice

Solve the system of equations using elimination.
- $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 64 \\\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 9 } = 1\end{array} \right.$$

• A) \(x = 0 , y = - 8 ; x = 0 , y = 8\)
• B) \(x = - 8 , y = 0 ; x = 8 , y = 0\)
• C) \(x = 0 , y = - 3 ; x = 0 , y = 3\)
• D) inconsistent

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Definitions:

Price Elasticity

measures how sensitive the quantity demanded or supplied of a good is to a change in its price, indicating the responsiveness of market participants to price changes.

Price Elasticity

A measure of the responsiveness of the quantity demanded of a good to a change in its price.

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a specific price point.

Equilibrium Price

The cost level where the amount of a product or service that consumers want to buy equals what is available, resulting in a balanced market situation.