Equivalence Properties of Equality Solving Online

In mathematics, equality is a term used for representing the equal quantities by a symbol ‘=’(equal). The main property used for solving the equality is equivalence property. Online gives three equivalence properties with neat definition. Online also gives some example expressions with equality having equivalence properties. Now by this online we are going to learn some problems solving using equivalence properties.

Explanation to equivalence properties of equality solving online:

The three properties of equivalence are,

Reflexive property of equality
Symmetric property of equality
Transitive property of equality

Reflexive property:

The reflexive property of equality says that a every element is equal to the element itself.

y = y

Symmetric property:

The symmetric property of equality says that if a we have equal elements x = y then it is equal to y = x.

Transitive property:

The transitive property of equality says that if a we have equal elements x = y and y = z then  we can take it as y = z.

Example problems to equivalence properties of equality solving online:

Example: 1

Solve: m + 8 = n and n = 12.

Solution:

Given,

m + 8 = n and n = 12

By definition of transitive property of equality,

m + 8 = 12

m = 12 – 8

m = 4

Answer: m = 4 and n = 12

Example: 2

Solve: 12 + 6 = a + 12

Solution:

Given 12 + 6 = a + 12

By definition of symmetric property of equality,

x + y = y + x

12 + 6 = a + 12

a = 6

Answer: a = 6

My forthcoming post is on T Distribution Tables and example of algebra will give you more understanding about Algebra.

Practice problems to equivalence properties of equality solving online:

Problem: 1

Solve: n + 56 = 56 + 12

Answer: n = 12

Problem: 2

Solve: Solve: 5 + m = n + 6 and n + 6 = 12.

Answer: m = 7 and n = 6