Which Method Should Be Used to Solve the System? Explain $$\begin{aligned}9 x ^ { 2 } + 3 y ^ { 2 } & = 81 \\- 8 x ^ { 2 } - 10 y ^ { 2 } & = 9\end{aligned}$$

question 235

Essay

Which method should be used to solve the system? Explain your answer, including a description of the first step.
- $$\begin{aligned}9 x ^ { 2 } + 3 y ^ { 2 } & = 81 \\- 8 x ^ { 2 } - 10 y ^ { 2 } & = 9\end{aligned}$$

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Definitions:

Free Enterprise

An economic system where private individuals rather than the government have the right to own property and conduct businesses, subject to minimal regulatory constraints.

Laissez-Faire

A belief system in economics that supports capitalism with minimal to no government interference.

Market System

An economic system in which decisions regarding investment, production, and distribution are based on supply and demand, and prices of goods and services are determined in a free price system.

Self-Interest

acting in a way that is most beneficial to oneself, a fundamental concept in economics that drives individual decision-making.