Perform the Operations and Simplify the Result When Possible $\frac { a + b } { 2 } + \frac { a - b } { 7 }$

question 163

Multiple Choice

Perform the operations and simplify the result when possible. $\frac { a + b } { 2 } + \frac { a - b } { 7 }$

• A) \(\frac { 2 ( 9 a + 5 b ) } { 9 }\)
• B) \(\frac { 5 a - 9 b } { 7 }\)
• C) \(\frac { 9 a + 5 b } { 14 }\)
• D) \(\frac { 9 a + 5 b } { 9 }\)
• E) \(\frac { 9 a + b } { 7 }\)

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Definitions:

Optimal Solution

The best possible outcome or solution that maximizes or minimizes the objective function within the constraints of a problem.

Constraints

Limitations or restrictions that are placed on a situation, process, or activity.

Linear Program

A mathematical technique aimed at optimizing outcomes within a mathematical model that is defined by linear equations.

Nonviolating

Nonviolating refers to actions or conditions that do not breach established rules, regulations, or standards.