NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables: Many real-life situations can be formulated using Mathematical equations. For example, consider the statement "cost of 1 Kg Apple and 2Kg orange is 120 and the cost of 3 Kg Apple and 1 Kg orange is 210". The statement can be formulated using Mathematical equation, for this consider the cost of Apple as x and that of orange as y. Then we can write two equations as x+2y=120 and 3x+y=210. The NCERT Solutions for Class 10 Maths Chapter 3 introduces the concept of solutions of pair of linear equations using many methods. Graphical method to solve the linear equations is also given in the NCERT Solutions of this chapter.
The problems related to this chapter is very interesting and are important in the Board exam and also for many other competitive exams. Most of the questions for the board exam will be based on NCERT Solutions for Class 10. We will also study how to solve linear equations in two variables using substitution method and cross multiplication method.
The various topics of NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables are given below.
3.1 Introduction
3.2 Pair of Linear Equations in Two Variables
3.3 Graphical Method of Solution of a Pair of Linear Equations
3.4 Algebraic Methods of Solving a Pair of Linear Equations
3.4.1 Substitution Method
3.4.2 Elimination Method
3.4.3 Cross - Multiplication Method
3.5 Equations Reducible to a Pair of Linear Equations in Two Variables
The NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables are given here.
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables- Exercise 3.1
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables- Exercise 3.2
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables- Exercise 3.3
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables- Exercise 3.4
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables- Exercise 3.5
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables- Exercise 3.6
NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables- Exercise 3.7
Chapter No. |
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Chapter 1 |
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Chapter 2 |
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Chapter 4 |
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Chapter 5 |
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Chapter 6 |
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Chapter 7 |
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Chapter 8 |
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Chapter 9 |
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Chapter 10 |
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Chapter 11 |
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Chapter 12 |
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Chapter 13 |
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Chapter 14 |
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Chapter 15 |
Q4. Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:
(iv)
Q6. Given the linear equation , write another linear equation in two variables such that the geometrical representation of the pair so formed is:
(iii) coincident lines
Q4. Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :
(iii) Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?