Transitive Property of Equality

For all real numbers, if two numbers are equal to the same number, then they are equal to each other. Let a, b, and c be real numbers.

This property can be used together with other Properties of Equality to solve equations. x = 5y-30 5y-30 = 20 ⇒ x &=20 Since this property is an axiom, it does not need a proof to be accepted as true. The Transitive Property of Equality also holds true if a, b, and c are complex numbers.