**Properties of Equality Equation Rules**

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

1.
| |

Operations | 1. 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. a = b and c ≠ 0 then a/c = b/c. |

a = a | |

Symmetric Property | If a = b then b = a. |

Transitive Property | a = b and b = c then a = c. |

**See also**

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