Determine the Real Solutions to the System of Nonlinear Equations $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 41 \\x - y = 1\end{array}$$

question 61

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 41 \\x - y = 1\end{array}$$
$x - y = 1$

• A) \(( - 4 , - 5 ) , ( 5,4 )\)
• B) \(( 4 , - 5 ) , ( 5 , - 4 )\)
• C) \(( 4,5 ) , ( 5,4 )\)
• D) \(( - 4,5 ) , ( - 5,4 )\)

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Definitions:

Maximum Profit

The highest possible financial gain that a business can achieve under given market conditions and with its current resources.

Monopolist

A monopolist is a sole producer or supplier of a particular good or service in the market, having significant control over pricing and market conditions.

Marginal Revenue

Marginal Revenue is the additional income gained from selling one more unit of a good or service, crucial for understanding profit maximization.

Second Unit

An additional or backup unit or system that serves as a replacement or supplement to the original.