Solve Nonlinear Systems by Addition
Solve the System by the Addition

question 9

Multiple Choice

Solve Nonlinear Systems By Addition
Solve the system by the addition method.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 40 \\- 13 x + y ^ { 2 } = 82\end{array}$$

• A) \(\{ ( - 6,2 ) , ( - 6 , - 2 ) \}\)
• B) \(\{ ( - 6,2 ) \}\)
• C) \(\{ ( - 6,2 ) , ( - 6 , - 2 ) , ( - 7,2 ) , ( - 7 , - 2 ) \}\)
• D) \(\{ ( - 6,2 ) , ( - 6 , - 2 ) , ( 6,2 ) , ( 6 , - 2 ) \}\)

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Definitions:

Selective optimization

A strategy of focusing on and optimizing key areas of functioning while compensating for declines in other areas, often used in the context of aging.

Compensation

The act of making amends for something inadequate or a loss, often referring to payment given for work done or for the settlement of a claim.

Successful development

The process of achieving personal, social, and professional milestones that are considered markers of progress and fulfillment across the lifespan.

Retirement

The phase of life where an individual stops working full-time, traditionally due to age.