Solve the System by the Addition Method $$\left\{ \begin{array} { l } x + y = 7 \\x - y = 1\end{array} \right.$$

question 38

Multiple Choice

Solve the system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set
notation to express the solution set.
- $$\left\{ \begin{array} { l } x + y = 7 \\x - y = 1\end{array} \right.$$

• A) \(\{ ( 3,4 ) \}\)
• B) \(\{ ( - 4,4 ) \}\)
• C) no solution; \(\varnothing\)
• D) \(\{ ( 4,3 ) \}\)

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Definitions:

Symmetry

The property of being made up of exactly similar parts facing each other or around an axis; often evaluated in statistical data sets.

Normal Distribution

A symmetrical, bell-shaped distribution of data wherein most observations cluster around the central peak and probabilities for values taper off equally in both directions.

Mean

The arithmetic average of a set of values, calculated by summing all the values and then dividing by the number of values.

Normal Curve

A bell-shaped curve that represents the distribution of a set of data where most values cluster around the mean.