Subtraction Property of Equality Formula
In order to write down the formula for the subtraction property of equality, we first need to take an equation so that B = D. Then, we may subtract a real integer βCβ from the left half of the equation, which means that B β C = D β C. Hence, the formula is provided by;
B = D β B β C = D β C
Therefore, we may state that in the Subtraction property of equality, the same integer is subtracted from both sides of the equation.
Example: Simplify using subtraction property x + 5 = 10.
Solution:
So for calculating βxβ we have to subtract 5 from both sides;
(x + 5) β 5 = 10 β 5
After simplifying it;
We get; x = 5
Therefore, After solving x + 5 = 10 by subtraction property of equality is x = 5.
Subtraction Property of Equality for Fractions
Subtraction Property of Equality for fractions states that if a fraction is subtracted from two equal fractions, then the differences are equal.
Suppose, we take an equation such that b/c = y/z, we can subtract the same fraction, a/d, from both sides of the equation to maintain balance in the equations. This can be represented as:
b/c = y/z β b/c β a/d = y/z β a/d
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