Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 5 \\x ^ { 2 } - y ^ { 2 } = 3\end{array} \right.$$

question 38

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 5 \\x ^ { 2 } - y ^ { 2 } = 3\end{array} \right.$$

• A) \(( 4,1 ) , ( - 4,1 )\)
• B) \(( 2,1 ) , ( - 2,1 )\)
• C) \(( 4 , - 1 ) , ( 4,1 ) , ( - 4 , - 1 ) , ( - 4,1 )\)
• D) \(( 2 , - 1 ) , ( 2,1 ) , ( - 2 , - 1 ) , ( - 2,1 )\)
• E)no solution exists

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Definitions:

Population Standard Error

A measure of the estimation uncertainty in predicting a population parameter based on a sample statistic.

Confidence Interval

A confidence interval is a range of values derived from sample data that is likely to cover the true value of an unknown population parameter.

Mean

The average of a set of numbers, calculated by adding all the numbers together and dividing by the count of those numbers.

Sampling Error

Differences between statistics calculated from a sample and statistics pertaining to the population from which the sample is drawn due to random, chance factors.