Solve the System by the Substitution Method $$x ^ { 2 } + y ^ { 2 } = 49$$

question 101

Multiple Choice

Solve the system by the substitution method.
- $$x ^ { 2 } + y ^ { 2 } = 49$$
$y - x = 7$

• A) \(\{ ( 0,7 ) , ( 7,0 ) \}\)
• B) \(\{ ( 0 , - 7 ) , ( - 7,0 ) \}\)
• C) \(\{ ( 0,7 ) , ( - 7,0 ) \}\)
• D) \(\{ ( 0 , - 7 ) , ( 7,0 ) \}\)

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Definitions:

Expected Opportunity Loss

The anticipated loss for not choosing the best possible option or course of action in decision-making processes.

Expected Monetary Value

A statistical technique in decision making used to calculate the average outcome when the future includes scenarios that may or may not happen.

Expected Value

The long-run average value of repetitions of the experiment it represents, often considered as the mean in probability.

Perfect Information

A situation in a game or economic model in which all participants know all the relevant details, including the actions and payoffs of all players.