# NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

NCERT solutions for class 10 maths chapter 3 Pair of Linear Equations in Two Variables enables the students to understand and explore simple ways to solve linear equations. This is a chapter that is widely used in industrial applications. It is used to solve questions based on speed-distance, money percentage, age, force-pressure, and so on. The kids will cover algebraic methods of solving a pair of linear equations in two variables, like the elimination method, the cross-multiplication method, and equations reducible to a pair of linear equations in two variables.

The NCERT solutions class 10 maths chapter 3 Pair of Linear Equations in Two Variables teaches that the general form of a linear equation in two variables is ax + by + c = 0, where x and y are variables and a, b and c are real numbers. Now, in this equation, the constants with variables cannot be equal to zero simultaneously. Such equations have two values, each for ‘x’ and ‘y’, which make both sides of the equation equal. The class 10 maths NCERT solutions chapter 3 Pair of linear equations in two variables can be accessed through the links below and also you can find some of these in the exercises given below.

- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.1
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.2
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.3
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.4
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.5
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.6
- NCERT Solutions Class 10 Maths Chapter 3 Ex 3.7

## NCERT Solutions for Class 10 Maths Chapter 3 PDF

Linear equations are implemented to overcome real-world problems in a variety of fields. To evaluate this type of equation, we must either apply the substitution technique or mathematical elimination, which is explained with appropriate examples in the NCERT solutions class 10 maths chapter 3 Pair of linear equations in two variables. The pdf of the different exercises in the chapter can be found below :

**ā** Download Class 10 Maths NCERT Solutions Chapter 3

**NCERT Class 10 Maths Chapter 3 **

### NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

A linear equation in two variables can also be easily represented on a graph. Since the equation forms a straight line, and a line can have infinitely many solutions so each solution can be uniquely plotted on the graph. Equations aren't simply a theoretical concept; they're also incredibly useful in everyday situations; hence, it is essential that the students get a practical problem-solving approach with the help of the examples and questions presented in the chapter. A section-wise quick analysis of the exercise questions in the NCERT Solutions Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables can be seen below :

- Class 10 Maths Chapter 3 Ex 3.1 - 3 Questions
- Class 10 Maths Chapter 3 Ex 3.2 - 7 Questions
- Class 10 Maths Chapter 3 Ex 3.3 - 3 Questions
- Class 10 Maths Chapter 3 Ex 3.4 - 2 Questions
- Class 10 Maths Chapter 3 Ex 3.5 - 4 Questions
- Class 10 Maths Chapter 3 Ex 3.6 - 2 Questions
- Class 10 Maths Chapter 3 Ex 3.7 - 8 Questions

**Topics Covered: **The topics covered in class 10 maths NCERT Solutions chapter 3 include the definition of linear equations, graphical method of a solution of a pair of linear equations, algebraic methods of solving a pair of linear equations by elimination, substitution, and cross multiplication, as well as equations reducible to a pair of linear equations.

**Total Questions:** Class 10 maths chapter 3 Pair Of Linear Equations In Two Variables consists of 29 questions, of which 12 are long answers, 8 are moderate-level, and 9 are easy problems. These sums are solved in a step-wise manner so that students can get a conceptual understanding of the topics covered in this chapter.

## List of Formulas in NCERT Solutions Class 10 Maths Chapter 3

Formulas give a way to simplify a tough sum and solve it more efficiently. A pair of linear equations can be solved using two methods, one is the algebraic method, and the other is the graphical method. In order to use these techniques, we need to cover topics such as the standard form of linear equations, equations for simultaneous pairs, etc. It is advised that kids make a formula chart that outlines the steps needed to be used when attempting such problems. This also helps them to revise the chapter at a steady pace and efficiently. Some of the important equations from this chapter of NCERT Solutions have been mentioned below:

- Pair of linear equations in two variables :

x = a_{1} x + b_{1} y + c_{1} = 0 : y = a_{2} x + b_{2} y + c_{2} = 0

The above two equations signify the general form of a system of linear equations that can be solved using elimination and substitution methods.

- Cross Multiplication Method : If a pair of linear equations given by a
_{1}x + b_{1}y + c_{1}= 0 and a_{2 }x + b_{2}y + c_{2}= 0, then the following conditions are possible :

- a
_{1}/a_{2}≠ b_{1}/b_{1}: depicting consistent pair of linear equations - a
_{1}/a_{2}= b_{1/}b_{2}≠ c_{1/}c_{2}: depicting inconsistent pair of linear equations - a
_{1}/a_{2}= b_{1}/b_{2}= c_{1}/c_{2}: depicting dependent as well as consistent pair of linear equations

## FAQs on NCERT Solutions Class 10 Maths Chapter 3

### Why are NCERT Solutions Class 10 Maths Chapter 3 vital for scoring well?

NCERT solutions class 10 maths chapter 3 have been prepared by experts and provide practical and graphical methods of solving a pair of linear equations with examples. The important topics such as consistent, inconsistent, and dependent pair of equations in two variables are explained in a step-wise manner with appropriate examples. Also, the CBSE board recommends studying NCERT solutions making them a vital resource.

### Do I Need to Practice all Questions Given in Class 10 Maths NCERT Solutions Linear Equations in Two Variables?

The NCERT solutions class 10 maths linear equations in two variables have examples and exercise questions that cover the important topics in detail and will help to build a strong foundation for students. The set of questions cover both algebraic and graphical problems. The more kids will practice all the problems, the better clarity they will get on the concepts. Hence, it's essential that the students aim to solve all the questions.

### What are the Important Topics Covered in NCERT Solutions Class 10 Maths Chapter 3?

The important topics covered in the NCERT solutions class 10 maths chapter 3 are the definition of a linear equation, degrees of an equation, as well as the elimination and substitution method. NCERT solutions help the students learn how to multiply the equations. They will also come across new terms like consistent, inconsistent pair of linear equations, point of intersection, and many more.

### How Many Questions are there in Class 10 Maths NCERT Solutions Chapter 3?

The NCERT Solutions contain a total of 29 well-researched questions that include both graph-based as well as algebraic sums. These 29 questions are distributed across 7 exercises. Students must go through all the examples before solving these exercises. Each question has been solved in a detailed manner with appropriate explanations in the NCERT solutions class 10 maths chapter 3.

### What are the Important Formulas in NCERT Solutions Class 10 Maths Chapter 3?

The important formulas mentioned in the NCERT Solutions class 10 maths chapter 3 are formulas for the cross-multiplication and division methods. Students must also remember the standard form of linear equations in two variables, as well as their general equations. These formulas are very important from an exam perspective and can help students solve questions in minutes. In order to understand the derivation of these formulas, kids must go through the theory of the chapter.

### Why Should I Practice NCERT Solutions Class 10 Maths Chapter 3?

NCERT solutions focus on equations reducible to a pair of linear equations in two variables. Practicing the elimination and substitution methods will help students master NCERT solutions class 10 maths chapter 3. Questions related to these topics are frequently asked in board exams hence it is important to go through these solutions on a regular basis in order to score excellent marks.