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NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables - PDF Download

JEE Mains & Advanced

NCERT solutions for class 10 maths chapter 3 Pair of Linear Equations in Two Variables helps the students to comprehend and investigate straightforward methods of solving linear equations. Algebraic solutions of Linear Equations in Two Variables includes the Elimination and Substitution Methods, which are discussed in this chapter. NCERT solutions for class 10 maths Chapter 3 provides students with an introduction to graph plotting and the formation of straight lines with linear equations in two variables. The general form of a pair of linear equations in two variables is ax + b + c = 0. Where, the variables are x and y, and a, b & c are real numbers.

eSaral offers a free PDF of NCERT solutions for class 10 maths chapter 3 to assist students in comprehending the sums. It includes solutions to all the questions mentioned in the exercises of chapter 3. NCERT solutions for class 10 maths chapter 3 Pair of linear equations in two variables will enable students to gain an understanding of different approaches to problem solving. NCERT solutions developed by eSaral’s subject experts are detailed and well explained. These solutions have followed a step-wise procedure so that you don’t have to find a difficulty while understanding the solutions. 

Important Topics covered in Chapter 3 - Pair of Linear Equations in Two Variables

Chapter 3 discusses “Pair of linear Equations in two variables.” This chapter is essential for the development of problem-solving abilities, analytical reasoning, and application of algebras to practical problems. Let’s look at the main topics discussed in this chapter.

3.1 Introduction

3.2 Graphical Methods of Solution of a Pair of Linear Equations

3.3 Algebraic Methods of Solving a Pair of Linear Equations

3.3.1 Substitution Method

3.3.2 Elimination Method

3.1 Introduction - In this section, you will learn two variables and two equations. In order to figure out these two different unknowns, we need two sets of linear equations. 

3.2 Graphical Methods of Solutions of a Pair of Linear Equations - In this section, you will learn how to plot a graph in a pair of linear equations. You will also learn inconsistent pairs of linear equations, consistent pairs of linear equations, and dependent pairs of linear equations.

3.3 Algebraic Methods of Solving a Pair of Linear Equations

              3.3.1 Substitution Method

              3.3.2 Elimination Method

Here, you will get to know two methods of algebraic methods of solving a pair of linear equations mentioned above.

NCERT Solutions for Class 10 Maths Chapter 3 Exercises

An overview of the NCERT solution class 10 maths chapter 3 exercise questions in a section-wise format is provided below. The exercise questions are a pair of linear equations in two variables.

Exercise 3.1

7 Questions & Solutions

Exercise 3.2

3 Questions & Solutions

Exercise 3.3

2 Questions & Solutions

Benefits of Downloading The NCERT Solutions for Class 10 Maths Chapter 3 - Pair of Linear Equations in Two Variables

The NCERT solution for class 10 maths chapter 3 Pair of linear Equations in two variables provides students with a deep understanding of a basic algebraic concept.Here, we discuss the many advantages of downloading and using these solutions to help students excel in this chapter.

  1. In the NCERT solutions provided by eSaral, students are shown how to solve these equations step by step using graphical and algebraic techniques. The explanations and examples help students to understand the concepts better.

  2. These NCERT solutions are broken down into small steps, making them easier for students to understand and follow. NCERT solutions provided by our experienced teachers encourage an organized mindset, allowing students to solve similar problems independently.

  3. eSaral's NCERT solutions free pdf provides both ways to solve a linear equation in two variables. Students can learn more about the topic by exploring both ways.

  4. NCERT solutions contain practical examples to help bridge the gap between theoretical concepts and practical usage.

Frequently Asked Questions

Question 1. What is a pair of linear equations in two variables class 10 maths chapter 3 ?

Answer 1. A pair of linear equations in two variables in Class 10 Maths is a collection of two linear equations with two variables, usually represented by x and y. A linear equation is an equation of the form ax + by = c, in which a, b and c are constant.

Question 2. Where can I obtain the best NCERT solutions for  class 10 maths chapter 3 online?

Answer 2. You can download NCERT solutions for class 10 chapter 3 on eSaral in PDF format to download for free. Subject experts develop the solutions so that students can get the most out of it. Each answer is accompanied by step-by-step explanations so that students can refer back to them to clarify their questions. 

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