Rule

Addition Property of Equality

Adding the same number to both sides of an equation results in an equivalent equation. Let

a,

b,

and

c

be real numbers.

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

The Addition Property of Equality is an axiom, so it does not need a proof. This property is one of the Properties of Equality that can be used when solving equations. Consider an example.

x - 3 = 5

By adding

3

to both sides of the equation, the variable

x

can be isolated and the solution to the equation can be found.

x - 3 = 5

AddEqn

$LHS + 3 = RHS + 3$

x - 3 + 3 = 5 + 3

Simplify left-hand side

x - 3 + 3 = 5 + 3

AddTerms

Add terms

x = 8

The Addition Property of Equality also holds true if

a,

b,

and

c

are complex numbers.

{{ article.displayTitle }}

{{ 'ml-heading-abilities-covered' | message }}

{{ 'ml-heading-lesson-settings' | message }}

Rule

Addition Property of Equality

	{{ 'ml-lesson-number-slides' \| message : article.intro.bblockCount}}
	{{ 'ml-lesson-number-exercises' \| message : article.intro.exerciseCount}}
	{{ 'ml-lesson-time-estimation' \| message }}