Additive Property of Equality With Whole Numbers

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal. This property holds true for whole numbers as well.

For example: Solve for x, x − 3 = 5

In the equation x − 3 = 5, we solve for x as follows.

Using additive property of equality, we add 3 to both sides of the equation to isolate the variable x.

x − 3 + 3 = 5 + 3

So, x = 8

Using the additive property of equality, solve the equation p + 7 = 13.

Solution

Step 1:

Given equation p + 7 = 13

Using the additive property of equality, subtract 7 from both sides of the equation to isolate the variable p.

Step 2:

p + 7 − 7 = 13 – 7 = 6

So, p = 6

Using the additive property of equality, solve the equation s − 9 = 5.

Solution

Step 1:

Given equation s − 9 = 5

Using the additive property of equality, add 9 to both sides of the equation to isolate the variable s.

Step 2:

s − 9 + 9 = 5 + 9 = 14

So, s = 14