If x=y then x+z=y+z
or
If x=y and a=b then x+a=y+b
The formal name for the property of equality that allows one to add the same quantity to both sides of an equation. This, along with the multiplicative property of equality, is one of the most commonly used properties for solving equations.
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The reflexive property of relations is not the same as the addition property of equality.
A # that is + and is= ex 5=5
Why? - Mainly to help in solving equations.
Addition Property of Equality (APOE)
The addition of the opposite, to both sides of the equation. keep it equal