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NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.3 

 

Are you looking for NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.3? Well, you have come to the right place. askIITians Maths faculty has prepared stepwise solutions for this exercise. The solutions include clear explanations and proper reasoning so that you can solve all the questions of the exercise easily. These NCERT Solutions are your all-time study guide whenever you need help in the exercise. 

 

Ex 3.3 of Class 10 Maths Chapter 3 is based on the concept of finding the solution of a pair of linear equations using the substitution method. It includes 3 questions of short answer type as well as long answer type. The word problems of this exercise are very important from the exam perspective. 

About Class 10 Maths Chapter 3 Pairs of Linear Equations in Two Variables Ex 3.3 

 

Linear Equation with Two Variables: An equation which can be put in the form: ax + by + c = 0, where a, b and c are real numbers (a, b ≠ 0) is called a linear equation in two variables ‘x’ and ‘y’. 

 

Pair of Linear Equation with Two Variables: General form of a linear pair of equations in two variables is: a1x + b1y + c1 - 0 and a2x + b2y + c2 = 0, where a1 b1, c1, a2, b2, c2 are real numbers. 

 

Solution of Pair of Linear Equations in Two Variables: Pair of linear equations can be solved using two methods: 

  1. Graphical Method 
  2. Algebraic Method 

Graphical Method: In the graphical method, we observe the graphs of the two equations based on the following: 

  • If the graphs of two equations of a system intersect at a point, the system is said to have a unique solution. In other words, the pair of linear equations is consistent.
  • If the graphs of two equations of a system are two parallel lines, the system is said to have no solution. In other words, the pair of linear equations is inconsistent.
  • When the graphs of two equations of a system are two coincident lines, the system is said to have infinitely many solutions. In other words, the pair of linear equations is consistent and dependent.

Algebraic Method: The algebraic method of solving a pair of linear equations includes three methods: 

  1. Substitution 
  2. Elimination 
  3. Cross-multiplication 

The solutions of a pair of linear equations in two variables depend upon the following: 

  • If a1/a2 ≠ b1/b2, then the pair of linear equations is consistent,
  • If a1/a2 = b1/b2, then the pair of linear equations is inconsistent,
  • If a1/a2 = b1/b2 = c1/c2, then the pair of linear equations is consistent and dependent. 

Download Free NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.3 

 

Before you download the NCERT Solutions for this exercise, let us take a look at what kind of questions are included in the exercise: 

 

Ex 3.3 Q1: The first question of this exercise includes 6 parts. In each of these parts, you have to solve the pair of linear equations using the substitution method. 

 

Ex 3.3 Q2: In this question, you are given two linear equations with an unknown value m. It is also given that y= mx + 3. You have to find the value of m by solving the given linear equations. 

 

Ex 3.3 Q3: This is an important question with 6 subparts. In each subpart, you are given different situations. You have to formulate a pair of linear equations using these situations and then solve them using the substitution method. 

 

You can find the solutions to all these three questions in PDF form at the askIITians website. These solutions include stepwise explanations so that you do not have to seek any further guidance in understanding this exercise. You can also download the NCERT Solutions of other exercises of this chapter. 

  • NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.1 
  • NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.2 
  • NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.3 
  • NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.4
  • NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.5
  • NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.6
  • NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.7 

NCERT Class 10 Maths Chapter 3 Ex 3.3 FAQs

 

1. How many questions are there in Ex 3.3 of Class 10 Maths NCERT Chapter 3?

There are 3 questions in the third exercise of Chapter 3 Pair of Linear Equations with Two Variables. 

 

2. How to prepare NCERT Class 10 Maths Chapter 3 for board exams? 

Start with revising the main concepts of the chapter using the revision notes prepared by askIITians experts. Then, practice the solved examples given in the NCERT textbook along with NCERT exercises. If you need any help just refer to our free NCERT Solutions for Class 10 Maths Chapter 3. We have also prepared mind maps, flashcards and extra questions for your better understanding of the chapter. 

 

3. Can I find the solutions for other NCERT Class 10 Maths Chapters? 

Yes, the askIITians Maths experts have created NCERT Solutions for all the chapters of Class 10 Maths. You can download their PDF solutions for free from our website. 


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