Linear Equation in One Variable Examples

Example 1: Solve for y, 8y – 4 = 0

Solution: 

Solving for value of y, 

Adding 4 to both sides of the equation ,

 8y -4 + 4 = 4

 8y = 4

Dividing both sides of equation by 8 

 y = 4/8

Simplifying the equation , 

 y = 1/2

Example 2: Solve the equation in x, 3x +10 = 55

Solution: 

Taking constants to RHS, 

3x = 45

 x = 15

Example 3: Solve the equation in x, 4/x5 -5 = 15

Solution: 

4/x5 -5 = 15

⇒ 4x/5 = 15 + 5

⇒ 4x/5 = 20

⇒ x = 20×5/4

⇒ x = 25

Example 4: The age of Ravi is twice the age of his sister Kiran if the sum of their age is 24 find their individual age.

Solution:

Let the age of Kiran is x, then the age of Ravi is 2x

Given, the sum of their ages is 24

x + 2x = 24

⇒ 3x = 24

⇒ x = 8

Thus, the age of Kiran = x = 8 years

Age of Ravi = 2x = 2×8 = 16 years

Example 5: Akshay earns three times more than Abhay and if the difference in their salaries is Rs 5000 find their individual salaries.

Solution:

Let the salary of Abhay be x, then the salary of Akshay is 3x

Given, the difference in their salaries is Rs 5000

3x – x = 5000

⇒ 2x = 5000

⇒ x = 2500

Thus, the salary of Abhay = x = Rs 2500

The salary of Akshay = 3x = 3×2500 = Rs 7500

Linear equation in one variable is the equation that is used in algebra for finding unknown quantities. It is used for representing the conditions that are dependent on one variable. It is a linear equation i.e. the equation in which the degree of the equation is one, and it only has one variable.

Let’s know more about Linear Equations in one Variable in detail below.