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equation rules

Properties of Equality
Equation Rules

Equivalence properties and algebra rules for manipulating equations are listed below.

 

Definitions      

1. a = b means a is equal to b.
2. a ≠ b means a does not equal b.

 

Operations1. Addition: If a = b then a + c = b + c.
2. Subtraction: If a = b then a – c = b– c.
3. Multiplication: If a = b then ac = bc.
4. Division: If a = b and c ≠ 0 then a/c = b/c.

 

Reflexive Property      a = a
Symmetric PropertyIf a = b then b = a.
Transitive PropertyIf a = b and b = c then a = c.

 

See also

Inequality rules, trichotomy, side of an equation

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