How to Make a True Equation

By Samantha Hanly; Updated April 24, 2017

A true equation is a mathematically accurate equation. A false equation is an incorrect equation; it says something erroneous or untrue. For example, 2 = 3 is a false equation, because 2 and 3 are different numerical values. To make a true equation, check your math to make sure that the values on each side of the equals sign are the same.

Ensure that the numerical values on both sides of the "=" sign are the same to make a true equation.

For example, 9 = 9 is a true equation. 5 + 4 = 9 is a true equation. 6 + 3 = 9 is a true equation. Therefore, 5 + 4 = 6 + 3 is a true equation.

Add any quantity to both sides of the equation to have a true equation.

For example: 5 + 4 + 2 = 6 + 3 + 2

Subtract any quantity from both sides of the equation to have a true equation.

For example: 5 + 4 - 2 = 6 + 3 - 2

Multiply any quantity by both sides of the equation to make a true equation.

For example: 7(5 + 4) = 7(6 + 3)

Divide any nonzero quantity by both sides of the equation to make a true equation.

For example: (5 + 4)/3 = (6 + 3)/3

Exercise caution when dividing by 0. 8 = 9 is a false equation 8/0 = 0 and 9/0 = 0 are both true equations Therefore, 8/0 = 9/0 is a true equation.

0 is not a good value to use to create and check true equations because the rules of 0 are different than those of other numerical values.

About the Author

Samantha Hanly is an organic vegetable gardener, greenhouse gardener and home canner. She grows a substantial portion of her family's food every year. After receiving her bachelor's degree, Hanly embarked on a career teaching dramatic arts, arts and crafts, and languages. She became a professional writer in 2000, writing curricula for use in classrooms and libraries.