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  • Last Modified 27-01-2023

NCERT Solutions for Class 10 Maths Pair of Linear Equations in Two Variables Exercise 3.7

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NCERT Solutions for Class 10 Maths Pair of Linear Equations in Two Variables Exercise 3.7: Exercise 3.7 of Chapter 3 for Maths Class 10 is an optional exercise that includes all the questions from the entire chapter. There are 8 questions available in the exercise related to solving a pair of linear equations in two variables. However, the subject matter experts at Embibe have curated 1500+ questions from 50+ books to help students practice the concepts.

The NCERT Solutions available at Embibe for Class 10 Maths Exercise 3.7 has been solved in an accurate and comprehensive way. So students can refer to the solutions to start their preparation. Continue reading this article to learn more about the NCERT Solutions for Class 10 Maths Exercise 3.7.

NCERT Solutions for Class 10 Maths Pair of Linear Equations in Two Variables Exercise 3.7: Important Topics

The Pair of Linear Equations in Two Variables deals with topics like graphical representation of equations, geometrical representation, elimination and substitution methods and more. Therefore, students can immerse themselves in learning these topics using Embibe explainers and 3D videos.

Furthermore, reference books like NCERT Exemplar, Mathematics for Class 10 by R.D Sharma, and chapter-wise previous year papers are available at Embibe library to assist students in preparing well. Besides practising the numerous questions available, students can also take tests available on the platform or create their own tests according to their choice.

The table below lists all the important topics included in the chapter Pair of Linear Equations in Two Variables.

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 3.7: Points to Remember

Embibe’s NCERT solutions for Class 10 Maths is a great source of information for CBSE Class 10 students looking for answers for their Linear Equations Class 10 syllabus. The important highlights of Exercise 3.7 are given below:

  • 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.
  • If a1x+b1y+c1=0 and a2x+b2y+c2=0 is a pair of linear equations in two variables x and y such that

(i) a1a2≠b1b2, the pair of linear equations is consistent with a unique solution

(ii) a1a2=b1b2≠c1c2, then the pair of linear equations is inconsistent and has no solution.

(iii) a1a2=b1b2=c1c2 then the pair of linear equations is consistent with infinitely many solutions.

NCERT Solutions for Class 10 Maths: All Chapters

Students can prepare for their Class 10 Maths by referring to the chapter-wise links of the NCERT Solutions available below.

1st Chapter: Real Numbers
2nd Chapter: Polynomials
3rd Chapter: Pair of Linear Equations in Two Variables
4th Chapter: Quadratic Equations
5th Chapter: Arithmetic Progressions
6th Chapter: Triangles
7th Chapter: Coordinate Geometry
8th Chapter: Introduction to Trigonometry
9th Chapter: Some Applications of Trigonometry
10th Chapter: Circles
11th Chapter: Constructions
12th Chapter: Areas Related to Circles
13th Chapter: Surface Areas and Volumes
14th Chapter: Statistics
15th Chapter: Probability

FAQs on NCERT Class 10 Maths Solutions for Pair of Linear Equations in Two Variables Exercise 3.7

Q.1: What is a linear equation in two variables Class 10?

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 solutions, no solution, or infinitely many solutions.

Q.2: How many exercises are there in Chapter 3 linear equations in two variables Class 10?

Ans: There are 6 exercises with one optional exercise in CBSE Class 10 chapter 3, Linear Equations in Two Variables. 

Q.3: How many questions are there in Exercise 3.7 of Class 10 Maths?

Ans: There are 8 questions in Exercise 3.7 of Class 10 Maths.

Q.4: Where can I get the NCERT solutions for Class 10 Maths Chapter 3 Exercise 3.7 online?

Ans: Students can get NCERT solutions for Class 10 Maths Chapter 3 Exercise 3.7 from this article.

Q.5: How many practice questions does Embibe provide for Class 10 Maths Chapter 3?

Ans: There are over 1500 practice questions on Embibe for Class 10 Maths Chapter 3.

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