NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2 Pair of Linear Equations in Two Variables - PDF Download

NCERT provides solutions for class 10 maths chapter 3 ex 3.2 which focuses on the application of the substitution method to solve linear equations in pairs of two variables. This Method involves the substitution of one variable's value by the expression of the value of another variable. where the value of one variable is substituted by expressing it in terms of another variable. 

NCERT solution for ex 3.2 class 10 maths chapter 3 is composed of 3 questions with 6 Sub-division and is based on the Substitution Method for solving pairs of linear equations. 

Class 10 maths chapter 3 exercise 3.2 solution by eSaral is one of the best study materials that will help you understand this exercise in a simple way. This chapter not only explains the basic concepts step by step but also provides a large number of problems and their solutions. It is possible to gain a comprehensive understanding of the chapter by practicing the questions of ex 3.2. eSaral’s class 10 maths chapter 3 ex 3.2 NCERT solutions is available for free. Students can also download eSaral class 10 maths NCERT solutions in PDF format free only from eSaral.

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Topics Covered in Exercise 3.2 Class 10 Mathematics Questions

In exercise 3.2 you will get to learn some algebraic methods of solving a pair of linear equations which are described below.

1. Algebraic Method of solving a Pair of Linear Equations - In order to solve a pair of linear equations, the graphical method may not provide the most precise solutions. especially if the solution point has non-integral coordinates such as (√2, √3) or ( 4/13, 1/19).

There are two algebraic methods mentioned in NCERT solutions class 10 maths chapter 3 for solving linear equations: (1) substitution method and (2) elimination method.

Here, in ex 3.2 we will discuss the Substitution Method.

1.1 Substitution Method 

1. Step 1- To solve linear equations by substitution, the first step is to solve a single equation for either of the variables.
2. Step 2- When you pick an equation or a variable in a pair, it won't affect the way you solve the pair's equations.
3. Step 3- Now we will substitute the result of one of the variables obtained in the second equation to solve for the other variable.
4. Step 4- In the final step, the value obtained from the variable can be used to find the second variable's value in any single equation.

Tips for Solving Exercise 3.2 Class 10 Chapter 3 Pair of Linear Equations in Two Variables

Ex 3.2 is a series of questions to test your knowledge of substitution methods. We have provided some of the tips to solve the questions of ex 3.2. You can check them below.

1. NCERT solutions class 10 maths chapter 3 ex 3.2 offers a step-by-step approach to the substitution method for solving linear equations. This exercise can be completed in four easy steps. Therefore, it is recommended that students practice the solved examples and question solutions thoroughly provided by our academic experts.
2. The sums included in ex 3.2 can be simple and straightforward, where you just need to use the substitution formula to solve the questions.
3. The NCERT solutions for class 10 maths chapter 3 ex 3.2 states that to solve the equation by substitution method, students must first express one variable as a function of another variable using any one of the mentioned equations. Since we already have the value for one of the variables, we can add it to the other equation to make it a linear equation for one variable. This step will help you to determine the value of that specific unknown quantity.

Importance of Solving Ex 3.2 Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

NCERT solutions class 10 maths ex 3.2 provides some important benefits of substitution method and concepts. Here are some of them.

1. The substitution method is one of the simplest methods of solving equations in ex 3.2 class 10 maths. The substitution method removes an equation to make it simpler to solve. The substitution method also gives only one equation to solve instead of two.
2. Solving NCERT solution ex 3.2 for class 10 maths chapter 3 helps students to score well in board exams.
3. The questions of ex 3.2 are solved by the subject experts of eSaral. Therefore, the answers provided are accurate.
   Teachers often point students to the CBSE class 10 Maths hub first, then to individual chapters like this one for focused practice.

Frequently Asked Questions

Question 1. How to define a substitution method based on NCERT solutions for class 10 maths chapter 3 ex 3.2 ?

Answer 1. The substitution method is the process of obtaining the value of a variable in another equation by substituting its value with that of another variable.

Question 2. What is the basic form of a linear equation ?

Answer 2. The basic form of a linear equation is ax+by+c=0, where a, b, c are real numbers.