Subtraction Property of Equality Examples
Example 1: Find the value of y in y + 6 = 14 using the subtraction property of equality.
Solution:
In this equation we will subtract an integer 6 from both sides.
y + 6 = 14
y + 6 – 6 = 14 – 6
y = 8
Therefore, the value of y is 8.
Example 2: Let x + 7 = 18 and y + 5 = 21. Find the value of x and y.
Solution:
Let’s see the 1st equation; x + 7 = 18
In this equation we will subtract an integer 7 from both sides.
x + 7 – 7 = 18 – 7
⇒ x = 11
Let’s see the 2nd equation; y + 5 = 21
In this equation we will subtract an integer 5 from both sides.
(y + 5) – 5 = 21 – 5
⇒ x = 16
Therefore, the value of x is 11 and y is 16.
Example 3: If y + 7 = 14, what is the value of y?
Solution:
In this equation we will subtract an integer 7 from both sides.
(y + 7) – 7 = 14 – 7
⇒ y = 7
Therefore, the value of y is 7.
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