Which Method Should Be Used to Solve the System? Explain $$\begin{aligned}- 3 x ^ { 2 } + y ^ { 2 } & = 9 \\- 8 x ^ { 2 } + 9 y ^ { 2 } & = 25\end{aligned}$$

question 71

Essay

Which method should be used to solve the system? Explain your answer, including a description of the first step.
- $$\begin{aligned}- 3 x ^ { 2 } + y ^ { 2 } & = 9 \\- 8 x ^ { 2 } + 9 y ^ { 2 } & = 25\end{aligned}$$

Calculate total cost, total revenue, and profit at profit-maximizing output levels.

Determine the profit-maximizing quantity of output based on marginal costs and market price.

Identify the role of market prices in determining a firm's supply decisions.

Interpret the effects of market conditions on a firm’s profit and production decisions.

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Definitions:

Conditioned Response

A learned reaction to a specific stimulus as a result of consistent pairing with another stimulus.

Systematic Desensitization

A behavioral therapy technique used to reduce anxiety or fear through gradual exposure to the feared object or situation paired with relaxation exercises.

Relaxation Training

Techniques designed to teach individuals how to reduce stress and tension in the body, promoting a state of calm.

Feared Objects

Items or entities that invoke a strong irrational fear or phobia in individuals.