Find the Solution Set for the System by Graphing Both $$\begin{aligned}16 x ^ { 2 } + y ^ { 2 } & = 16 \\y ^ { 2 } - 16 x ^ { 2 } & = 16\end{aligned}$$

question 62

Multiple Choice

Find the solution set for the system by graphing both of the system's equations in the same rectangular coordinate
system and finding points of intersection.
- $$\begin{aligned}16 x ^ { 2 } + y ^ { 2 } & = 16 \\y ^ { 2 } - 16 x ^ { 2 } & = 16\end{aligned}$$

• A) \(\{ ( 0 , - 4 ) , ( 0,4 ) \}\)
• B) \(\{ ( 0 , - 4 ) \}\)
• C) \(\{ ( 0,16 ) \}\)
• D) \(\{ ( 4,0 ) , ( 4,0 ) \}\)

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Definitions:

Budget Line

An illustration showing all the potential combinations of two products that someone can buy, considering their wealth and the price points of the items.

Tax Rate

The percentage at which an individual or corporation is taxed on their income or profits.

Utility Function

A representation in economics that maps a set of goods and services into a level of utility or satisfaction.

Leisure

Time available for ease and relaxation where no work is done.