Properties of Equality Examples
To understand the properties of equality in a better way, we will have to solve some examples by applying the properties of equality. Here are the examples –
Example 1. Solve the equation, 5x – 10 = 5.
Solution:
5x – 10 = 5
Apply the addition property of equality in both sides, we get
5x – 10 + 10 = 5 + 10
⇒ 5x = 15
Now, applying the division property of equality, we get
5x/5 = 15/5
⇒ x = 3
Thus, the required answer is 5.
Example 2. Solve the equation : x/3 + 3 = 10.
Solution:
x/3 + 3 = 10
Apply the substitution property of equality in both sides, we get
x/3 + 3 – 3 = 10 – 3
⇒ x/3 = 7
Now, applying the multiplication property of equality, we get
x/3 × 3 = 7 × 3
⇒ x = 21
Thus the required answer is 7.
Example 3: Solve the equation : y² + 4y – 20 if y = 5.
Solution:
y2+ 4y – 20
Applying the substitution property of equality, we get
= 5² + 4 × 5 – 20
= 25 + 20 – 20
= 25
Thus, the required answer is 25.
Properties of Equality
Properties of Equality are fundamental rules governing equations in mathematics. We have various types of properties of equality in math to solve algebraic and other mathematical problems.
Some of the common properties for equality are addition property, subtraction property, multiplication property, division property, transitive property, etc. In this article, we will learn the concept of properties of equality with examples as well as explanations.
In this article, we have provided the properties of Equality, which are very useful for equation solving, along with detail explanation of all properties of equality.
Table of Content
- What is Equality?
- Properties of Equality
- List of Properties of Equality
- 1. Addition Property of Equality
- 2. Subtraction Property of Equality
- 3. Multiplication Property of Equality
- 4. Division Property of Equality
- 5. Reflexive Property of Equality
- 6. Symmetric Property of Equality
- 7. Transitive Property of Equality
- 8. Substitution Property of Equality
- 9. Square Root Property of Equality
- Properties of Equality – Table
- Uses of Properties of Equality
- Properties of Equality Examples
- Practice Problems on Properties of Equality
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