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

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