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Rule

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.

If $a = b$ and $b = c,$ then $a = c .$

This property can be used together with other Properties of Equality to solve equations.

{x = 5 y - 30 5 y - 30 = 20 \Rightarrow 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.

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Rule

Transitive Property of Equality