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# RS Aggarwal Solutions Class 10 Chapter 3 - Linear Equations in two variables (Ex 3B) Exercise 3.2

Last updated date: 28th May 2024
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## Download Free PDF of RS Aggarwal Solutions Class 10 Chapter 3 - Linear Equations in two variables (Ex 3B) Exercise 3.2 available on Vedantu

RS Aggarwal Maths Class 10 Linear Equations In Two Variables Ex 3b deals with the knowledge of the different methods to solve Linear Equations. The methods adopted to solve Linear Equations in two variables are clearly explained in detail using suitable examples and problems. On solving RS Aggarwal Class 10 Chapter 3 Maths Exercise 3b, students get a concrete idea of simultaneously solving two Linear Equations numerically. The solution by Vedantu further reinforces the learning with its vivid explanation and step-by-step methods of solving problems. In a nutshell, the concise representation of the RS Aggarwal Solutions Class 10 Maths Chapter 3 Exercise 3b by Vedantu truly enables a student to learn Linear Equations in two variables and score reasonably well in all examinations.

Vedantu is a platform that provides free NCERT Solution and other study materials for students. You can also Download Maths NCERT Solutions Class 10 and NCERT Solution for Class 10 Science to help you to revise the simply complete Syllabus and score more marks in your examinations.

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## Class 10 Chapter 3 RS Aggarwal Solutions For Linear Equations in two variables (Ex 3B) Exercise 3.2

### RS Aggarwal Class 10 Maths Exercise 3b: An Overview with Examples

In RS Aggarwal Solutions Class 10 Maths Ex 3b, the solution for any variable i.e. x or y corresponds to a point on a straight line that can be graphically represented. General form of equations in RS Aggarwal Solutions Maths Class 10 Chapter 3b is given by ax + by + c = 0. A pair of Linear Equations in two variables is represented by two such equations, each containing two different variables.

The general form of a pair of Linear Equations can be represented as:

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

where a1, a2, b1, b2, c1 and c2 are constants, such that a12 + b12 ≠ 0, a22 + b22 ≠ 0.

In case of a simultaneous pair of Linear Equations mentioned in RS Aggarwal Maths Class 10 Exercise 3b Solutions, the solutions for the variables x and y should satisfy both the equations.

### A Pair of Linear Equations in Two Variables can be Represented and Solved by Using the Following Methods:

• Graphical method: Two lines that represent each linear equation are plotted on the graph and their point of cross-section represents the solution.

• Algebraic method: The various algebraic methods are:

• Substitution method

• Elimination method

• Cross-multiplication method

RS Aggarwal Class 10th Exercise 3b Maths contains problems based on Linear Equations that use algebraic methods of elimination and substitution.

Example of RS Aggarwal Maths Class 10 Exercise 3b Solutions

Solve for: 3x - y = 23

x/3 + y/4 = 4

Ans: 3x - y = 23 ……..(i)

x/3 + y/4 = 4 ……………(ii)

On multiplying equation (ii) by 4 we get:-

4x/3 + y = 16 ……………(iii)

Now adding (i) and (iii) we get:-

3x + 4x/3  = 23 + 16

(9x+4x) /3=39

13x = 117

∴ x = 9

On substituting the value of x in (i)

3 × 9 – y = 23

y = 27 – 23

∴ y = 4

Class 10 Maths RS Aggarwal Solutions Chapter 3 Exercise 3b is curated by our eminent group of educators to ensure better understanding and successful revision. Maths RS Aggarwal Solutions Class 10 Chapter 3 Ex 3b are provided with detailed explanations and solutions that are critical in scoring handsome points in the exams.

## FAQs on RS Aggarwal Solutions Class 10 Chapter 3 - Linear Equations in two variables (Ex 3B) Exercise 3.2

1. Where can I find RS Aggarwal Class 10 Maths Chapter 3 Linear Equations in Two Variables Solutions for Exercise 3B?

You can find RS Aggarwal Solutions for Class 10 Maths Chapter 3 Linear Equations in Two Variables Ex 3.2 on Vedantu. The free PDF of exercise-wise RS Aggarwal Solutions for Chapter 3 Linear Equations in Two Variables is prepared by expert Maths teachers. It is designed to help students revise the complete syllabus and score well in exams. RS Aggarwal Solutions for Class 10 Maths Chapter 3 Exercise 3B comply with the latest CBSE guidelines and exam pattern. It provides students with a thorough chapter’s knowledge. The explanations are written in a simple manner to help students in doubt clearance.

2. What will I learn from Class 10 Maths Chapter 3 Linear Equations in Two Variables Exercise 3.2?

With the help of RS Aggarwal Maths Class 10 Chapter 3 Linear Equations in Two Variables Exercise 3B, you will learn how to solve equations where two variables are involved. The example of a linear equation in two variables is 3x + 2y = 10. Students can get expert RS Aggarwal Solutions for understanding the concepts. Class 10 Maths Chapter 3 is crucial to develop the basics of Linear Equations in Two Variables. The RS Aggarwal Solutions are available in the free PDF format on Vedantu.

3. What are the benefits of RS Aggarwal Solutions for Class 10 Maths Chapter 3 Linear Equations in Two Variables Ex 3B?

Class 10 Maths Chapter 3 Linear Equations in Two Variables included in CBSE syllabus is an important chapter. The chapter explains the fundamental concepts related to Linear Equations (two variables). RS Aggarwal textbook questions are important to get concept clarity. RS Aggarwal Solutions are provided by experts to clear all the doubts regarding this chapter. These experts have years of teaching experience. RS Aggarwal Solutions for Class 10 Chapter 3 Linear Equations in Two Variables is an excellent material to be a top scorer in the Maths exam.

4. Mention the salient features of Vedantu’s RS Aggarwal Solutions for Class 10 Maths Chapter 3  for Exercise 3.2 or any other exercise.

RS Aggarwal Solutions for Class 10 Maths Chapter 3 Linear Equations in Two Variables are available on Vedantu’s platform.

Following are some of the key features of Vedantu’s RS Aggarwal Solutions for Class 10 Maths Chapter 3:

• Exercise-wise solutions.

• Designed by Maths experts.

• As per exam guidelines.

• Provides complete coverage of the textbook questions.

The experts at Vedantu have ensured in-depth coverage of every chapter in RS Aggarwal Solutions Class 10 Chapter 3 - Linear Equations in Two Variables. To learn more, click here.

5. What is the substitution method?

Two-variable pair of Linear Equations

Linear Equations is the set of two or more Linear Equations utilizing the same set of variables in mathematics. The word system denotes that the equations should be viewed as a whole rather than separately. The pair of values of the unknown variables x and y that satisfy both equations is a solution to this system of equations.

Solving Linear Equations in two variables using the algebraic method:

Substitution method: Replace one of the variables in one of the equations (in terms of the other variable).

Substitute this for the second variable in the second equation and solve. To gain access to study materials, you can visit the Vedantu app and website.