Find here step-by-step NCERT Maths Solution Class 8 Exercise 2.6 | Equations Reducible to the Linear Form | Chapter 2 Linear Equations In One Variable from CBSE NCERT textbook.

Before moving to maths solution class 8 exercise 2.6 , it is advised to go through the following topics:

• Linear Equations In One Variable

## NCERT Maths Solution Class 8 Exercise 2.6

Problems in Exercise 2.6 require the knowledge of reducing non-linear equations (reducible) to linear equations.

Some equations may not be linear to begin with, but they can be brought to linear form by multiplying both sides of the equation by a suitable expression.[ NCERT MATHS SOLUTION CLASS 8 EXERCISE 2.6 ]

**Cross Multiplication :**

If an equation is in the form we multiply both LHS and RHS with *b* and *d* but omit the step and write the result in next step as .

### Exercise 2.6

Equations Reducible to the Linear Form

Solve the following equations.

1).

2).

3).

4).

5).

SOLUTION

1).

2).

3).

4).

5).

6). The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of

their ages will be 3:4. Find their present ages.

SOLUTION

Let, the age of Hari be 5x years,

So, the age of Harry be 7x years,

Four years from now,

The age of Hari will be (5x + 4) years,

and the age of Harry will be (7x + 4) years,

A/Q,

7). The denominator of a rational number is greater than its numerator by 8. If the

numerator is increased by 17 and the denominator is decreased by 1, the number

obtained is . Find the rational number.

SOLUTION

Let, the numerator of the rational number be x,

So, the denominator of the rational number be x + 8,

A/Q,

Therefore, the numerator of the rational number = x = 13,

and the denominator of the rational number = x + 8 = 21,

Hence, the rational number =

We hope NCERT Maths Solution Class 8 Exercise 2.6 has helped you understand how to reduce non-linear equations to linear form and solve them.

Please write in the comment section for any error or any solution related queries from the exercise.

Check NCERT Solution of other Exercises from Class 8 Maths Chapter 2 Linear Equations in One Variable by clicking the links given below.