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NCERT Solutions for Class 10 Maths Pair of Linear Equations in Two Variables Exercise 3.1

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NCERT Solutions for Class 10 Maths Pair of Linear Equations in Two Variables Exercise 3.1: NCERT Class 10 Maths Solutions Exercise 3.1 helps students to learn about Linear Equations in Two Variables and their graphical and algebraic expressions. By solving exercise 3.1 Class 10 Maths, students shall be able to analyse the concepts better and draw the right conclusions from the chapter questions. 

Embibe’s Exercise 3.1 Class 10 Maths NCERT Solutions helps students understand every chapter and concept and develop crucial analytical and problem-solving skills. In fact, the subject matter experts at Embibe have compiled over 500 practice questions exclusively for Exercise 3.1. Continue reading this article to get all the details of NCERT solutions for Class 10 Maths Exercise 3.1.

NCERT Solutions for Class 10 Maths Pair of Linear Equations in Two Variables Exercise 3.1: Important Topics

The NCERT Solutions for Class 10 Maths provided by Embibe contains solutions explained in a comprehensive and accurate manner. The experts have curated more than 1500 questions from 30+ books to allow students to get hands-on on the different kinds of questions related to the chapter.

However, students can also strengthen their basics by referring to Embibe explainers, exemplars and 3D videos, which are highly interactive and fun. In addition, they can test their conceptual understanding and ability to solve problems through customisable tests that they can create on the platform.

Before we dive into the details of the solutions, students can find out the list of important topics from the table.

Serial No.Particulars
3.1Introduction to Pair of Linear Equations in Two Variables
3.2Graphical Method of Solution of a Pair of Linear Equations
3.3Algebraic Methods of Solving a Pair of Linear Equations
3.4Equations Reducible to a Pair of Linear Equations in Two Variables

NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.1: Points to Remember

Students who want a quick revision while preparing for Exercise 3.1 can refer to the following points to remember.

  • A pair of linear equations in two variables xx and yy can be represented algebraically as follows:

a1x+b1y+c1=0

a2x+b2y+c2=0, where a1, a2, b1, b2, c1, c2 are real numbers such that a12+b12≠0, a22+b22≠0.

  •  If a pair of lines intersect at a point, then we say that the pair is consistent, and the coordinates of the intersection point provide us with a unique solution.
  • If a pair of lines are parallel, then the pair has no solution and is called an inconsistent pair of equations.
  •  If a pair of lines are coincident, then it has infinitely many solutions. Each point on the line is a solution. In this case, we say that the pair of linear equations is consistent with infinitely many solutions.

NCERT Solutions for Class 10 Maths: All Chapters

The NCERT Class 10 Maths books and NCERT Class 10 Maths solutions play a vital role while preparing for the CBSE Class 10 board exams. Therefore, to make the preparation process smooth and resolve any kind of doubts related to the Class 10 Maths exercises, we have provided the chapter-wise NCERT solutions below:

FAQs on NCERT Class 10 Maths Solutions for Pair of  Linear Equations in Two Variables Exercise 3.1

Q1. What is a linear equation in two variables?

Ans: The standard form of a two-variable linear equation is ax+ by+ c= 0 where x and y are the two variables. They have one solution, no solution, or infinitely many solutions.

Q2. How many exercises are there in linear equations in two variables Class 10?

Ans: There are 6 exercises with one optional exercise in NCERT Class 10 chapter, Linear Equations in Two Variables. 

Q3. How many methods are there to solve a pair of linear equations?

Ans: There are three methods to solve a pair of linear equations in two variables – a) substitution method, b) elimination method, and c) cross-multiplication method. 

Q4. Where can I get the NCERT solutions for Class 10 Maths Chapter 3 Exercise 3.1?

Ans: Students can get NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.1 from this article.

Q5. Are Embibe’s NCERT Class 10 Maths Solutions helpful?

Ans: Yes, Embibe’s NCERT Class 10 Maths Solutions are helpful. Experts at Embibe provide answers to every question in a simple and step-by-step manner that promotes strategic learning in students. 

Adaptive Practice with Solutions To Help You Ace Important Topics for 10th NCERT