NCERT Solutions Class 8 Maths Chapter 2

NCERT Solutions for Class 8 Mathematics Chapter 2- Linear equations in one variable

Mathematics is a difficult yet interesting subject. Once you learn how to solve numerical problems in Mathematics, you will start building interest in  this subject. It is used in various day-to-day life applications, making it the most demanding subject.

The Chapter linear equations Class 8 include topics like understanding and solving mathematical  expressions and equations. . It is interlinked with different Chapters of NCERT Class 9 Mathematics and NCERT Class 10 Mathematics making it one of the most crucial chapters.

Our NCERT Solutions for Class 8 Mathematics Chapter 2 includes  all the topics students need to focus on during their preparation. You will find solutions to all the questions covered in NCERT textbook as per updated CBSE syllabus. The step by step methods of solving problems in the NCERT Solutions facilitate students in  solving NCERT questions. Thus, enhancing their analytical and problem solving skills .

You can find the NCERT Solutions for Class 8 Mathematics Chapter 2 on the Extramarks’ website. At the same time, you can also avail NCERT study material, NCERT revision notes, NCERT Exemplar and mock tests on our website.

Visit the Extramarks’ website to keep yourself updated about the CBSE syllabus, NCERT Solutions and exam patterns. You can also search for NCERT Solutions Class 9 to keep yourself a step ahead in your preparation.

Key Topics Covered In NCERT Solutions for Class 8 Mathematics Chapter 2

Linear equations in two variables are entirely based on algebraic expressions covered in primary classes. This chapter is also interlinked with the chapter quadratic equations of the secondary classes. This suggests that it has immense importance in Mathematics. 

Extramarks NCERT Solutions for Class 8 Mathematics Chapter 2 has solved key to the textual questions which includes all the topics explained in detail. The chapter briefs about the ways to solve various sets of equations which covers a wide range of Mathematics Algebra Syllabus. 

This chapter will require students to use their logical as well as analytical thinking. They will learn to find solutions to problems in a more calculated and smarter way.

Introduction

An equation is made up of a variable and a constant marked by their equalities. When an equation contains only linear polynomials, it is called linear equations.

If a linear equation has only one variable, it is called a linear equation in one variable, whereas if a linear equation has two variables, it is called a linear equation in two variables.

In this section, we will briefly talk about linear equations in one variable and all the applications and terminologies related to it.

Solving equations which have linear expressions on one side and a number on the other side.

There are different cases of writing an equation. One such case is linear equations on one side and a number on the other side. We will learn more about solving such types of equations in this section. 

First, let us see what a linear equation on one side and a number on the other side look like.

For example: 

• 3z-4=8
• 7y+2=12

Steps to solve equations which have linear expressions on one side and a number on the other side

1. Write the equation
2. Bring all the numbers on the right-hand side
3. Add or subtract them according to the given linear equation
4. Divide the obtained number with the coefficient of the constant
5. Calculate the result and interpret it.

For instance, taking the case of above mentioned linear equation, we get

3z-4=8

3z=8+4

3z=12

z=12/3

z=4

Some applications

In this section, you will learn to solve some word problems based on the types of equations we have completed in the previous section.

You can find tips on how to form linear equations based on word problems and how to calculate results based on them in our NCERT Solutions for Class 8 Mathematics Chapter 2.

Solving equations having the variables on both sides

The other set of equations include variables on both sides. These sets of equations are used in applications of various problems in higher classes.

The examples of such types of equations are as follows:

• 4y-5= 7y+ 8
• 10x+4= 7x-3.

Following are the steps to solve such types of equations

1. Write the equation
2. Bring the same variables on one side and the other group of variables on the other side
3. Change the signs while shifting from RHS to LHS and vice versa
4. Perform addition, subtraction, multiplication or division accordingly
5. Solve further as linear equations on one side and a number on the other side
6. Calculate and interpret the results.

For instance, taking the examples mentioned above, we get

4y-5=7y+8

4y-7y= 8+5

-3y= 13

y= 13/-3

y= -13/3

Some more applications

In this section, you will solve detailed word problems on equations with variables on both sides. You can find solutions to these problems in our NCERT Solutions for Class 8 Mathematics Chapter 2.

Reducing equations to a simpler form

You may come across various complex sets of equations. It becomes very difficult to solve equations in their complex form. Hence, it is necessary to reduce them to their simpler form.

This section gives steps to reduce an equation to its simpler form. You can find the sequential written steps along with complete explanation and illustrations in our NCERT Solutions for Class 8 Mathematics Chapter 2.

Equations reducible to linear form

Two equations in fractional form can be converted to linear form by cross-multiplying their variables.

For example: If the equation is of the form

AX-BY/CU-DV=M/N,

Then we can convert it into a linear form by cross-multiplying as follows

N(AX-BY)=M(CU-DV).

One can achieve mastery in this section with a lot of practice and comprehension of the concepts. To sum up, this is one of the root chapters as it is laying the foundation for Algebra of NCERT Class 9 and NCERT Class 10 Mathematics. Hence, students are advised to cover this chapter with complete conceptual understanding and try to make it easier for themselves. 

NCERT Solutions for Class 8 Mathematics Chapter 2 Exercise & Solutions

After solving every question, it is necessary that you have a proper reference solution for cross-checking the answers. Hence, Extramarks’ website provides NCERT Solutions for Class 8 Mathematics Chapter 2 which helps students to check whether their answers are right and up to the examination standards or not. This will help them to understand all the topics in a better way and motivate them to solve different kinds of problems with greater confidence. Click on the below links to view exercise-specific questions and solutions for NCERT Solutions for Class 8 Mathematics Chapter 2:

Along with Class 8 Mathematics Solutions, you can explore NCERT Solutions on our Extramarks website for all primary and secondary classes.

NCERT Exemplar Class 8 Mathematics 

NCERT Exemplar book is a great source of knowledge for every Class 8 Mathematics student. The questions cover every corner of NCERT chapters so that students don’t miss out on any of the concepts. It covers most of the comprehension-based questions thus requiring students to have a strong conceptual understanding of every topic they have learned.

The book is specially made for students preparing for various competitive examinations. The questions are updated year by year to ensure that the solutions are up-to-date. It aids in developing logical, analytical, and critical thinking which plays a great role in the skill development of the students in various disciplines of their lives. Another key skill that they will acquire is conveying their answer clearly and concisely.

Students find themselves fully prepared and ready to solve any question after referring to the NCERT Solutions and NCERT Exemplar. Hence, they are able to solve all the advanced-level questions with ease.

Key Features of NCERT Solutions for Class 8 Mathematics Chapter 2

Students with quality study material always excel with good grades. Hence, NCERT Solutions for Class 8 Mathematics Chapter 2 offers a complete solution guide to all the NCERT questions. The key features are provided: 

• Students can find a detailed solution to each exercise and every question which enables them to test themselves easily during exam preparations. 
• Students will learn to compose an answer that meets the question’s requirements After completing the NCERT Solutions for Class 8 Mathematics Chapter 2, students will start seeing Mathematics as an interesting and scoring subject
• This will help students to boost confidence in their preparation.