Verification of Subtraction Property of Equality
Letβs consider the following examples for verification of substraction property of equality.
Example 1: Consider an algebraic equation x + 4 = 40, and solve using subtraction property.
Solution:
Given: x + 4 = 40
In this equation, we will subtract an integer 4 from both sides.
(x + 4) β 4 = 40 β 4
β x = 36
Thus, x = 36 is the solution for the given equation.
Example 2: Simply using subtraction property: β3y + 9 = 0.
Solution:
Given: β3y + 9 = 0
In this equation, we will subtract an integer 9 from both sides to solve for y.
β3y + 9 β 9 = 0 β 9
β -3y = -9
using the division property of equality, we get
-3y/-3 = -9/-3
β y = 3
Thus, y = 3 is the solution for given equation.
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Subtraction Property of Equality
Subtraction Property of Equality is one of the many properties of equality. In this property, if two quantities a and b, are equal and we remove c from each of them, then the difference between a and c equals the difference between b and c.
In this article, we will focus on the subtraction property of equality and its various related terms.
Table of Content
- What are the Properties of Equality?
- What is the Subtraction Property of Equality?
- Subtraction Property of Equality Formula
- Verification of Subtraction Property of Equality
- Subtraction Property of Equality Examples