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NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.4

 

NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.4 are the best study guide for every student. With these solutions, you can learn the elimination method of solving a pair of linear equations in two variables. The solutions for Ex 3.4 are prepared by askIITians Maths faculty based on the latest CBSE syllabus and exam pattern. You can download the solutions for free from our website in PDF form. Our NCERT Solutions not only include stepwise answers for every question of Ex 3.4 but also include proper explanations for every step. Let us see what is included in NCERT Class 10 Maths Chapter 3 Ex 3.4. 

About NCERT Class 10 Maths Chapter 3 Ex 3.4

 

Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.4 is based on the elimination method of solving a pair of linear equations in two variables. You must learn how to use this method step by step if you want to get the right solutions every time. Here are some points to remember about Ex 3.4 of Class 10 Maths Chapter 3:

  • In the elimination method, we remove one of the two variables of a linear equation. This way we get a linear equation in one variable which is much easier to solve. 
  • A problem that can be solved by the elimination method can also be solved by substitution or graphical methods. 

Using the elimination method to solve a pair of linear equations in two variables:

 

Step 1: Multiply both the equations by some suitable non-zero constants to make the coefficients of one variable (either x or y) numerically equal. 

 

Step 2: Add or subtract one equation from the other so that one variable gets eliminated. If you get an equation in one variable, go to Step 3. Otherwise, check the following conditions: 

  • If in Step 2, we obtain a true statement involving no variable, then the original pair of equations has infinitely many solutions. 
  • If in Step 2, we obtain a false statement involving no variable, then the original pair of equations has no solution, i.e., it is inconsistent. 

Step 3: Solve the equation in one variable (x or y) so obtained to get its value. 

 

Step 4: Substitute this value of x (or y) in either of the original equations to get the value of the other variable.

 

Types of questions included in exercise 3.4 of Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables:

 

Ex 3.4 Q1: In this question, you are given pairs of linear equations in two variables and you have to solve them using the elimination method. You can easily solve this question if you remember the steps given above. Check our NCERT Solutions and see how to solve this question stepwise. 

 

Ex 3.4 Q2: In this question, you are given 5 different word problems. You have to formulate pairs of linear equations and then solve them using the elimination method. This is an important question that also tests your analytical abilities as you formulate the linear equations based on the situations given to you. 

Download Free NCERT Solutions for Class 10 Maths Chapter 3 Ex 3.4 

 

Revise how to use the elimination method to solve a pair of linear equations in two variables using our NCERT Solutions. We have also provided the stepwise solutions for all the other 6 exercises of the chapter. All the solutions are available as separate PDFs so that you can download them at any time and practice the exercises. 

 

Chapter 3 of Class 10 Maths NCERT is based on solving pairs of linear equations in two variables using the graphical method, substitution method, elimination method, and cross-multiplication method and reducing equations to a pair of linear equations in two variables. 

 

The exercise questions include representing the given situations graphically, finding whether the given pair of linear equations intersect at a point, parallel or coincident and finding the solutions of the given linear equations using different methods. 

 

Important features of NCERT Class 10 Maths Chapter 3 Ex 3.4:

  • All the solutions are based on the latest CBSE exam pattern and syllabus for board exam

  • You can download the NCERT Solutions for free in PDF format 

  • Top Maths experts at askIITians have created these solutions 

  • The solutions include stepwise explanations and easy to understand explanations 

  • Prepare for your examination using these NCERT Solutions 

 

Download exercise-wise solutions for NCERT Class 10 Maths Chapter 3 Pairs of Linear Equations in Two Variables

  • NCERT Chapter 3 Class 10 Maths Ex 3.1 Solutions - 3 Questions
  • NCERT Chapter 3 Class 10 Maths Ex 3.2 Solutions - 7 Questions
  • NCERT Chapter 3 Class 10 Maths Ex 3.3 Solutions - 3 Questions
  • NCERT Chapter 3 Class 10 Maths Ex 3.4 Solutions - 2 Questions
  • NCERT Chapter 3 Class 10 Maths Ex 3.5 Solutions - 4 Questions
  • NCERT Chapter 3 Class 10 Maths Ex 3.6 Solutions - 2 Questions
  • NCERT Chapter 3 Class 10 Maths Ex 3.7 Solutions - 8 Questions

NCERT Class 10 Maths Chapter 3 Ex 3.4 FAQs

 

1. How many examples are there for NCERT Class 10 Maths Chapter 3 Ex 3.4?

There are 3 solved examples for NCERT Class 10 Maths Chapter 3 Ex 3.4 and 2 unsolved questions in the exercise. 

 

2. Which study materials are available for NCERT Class 10 Maths Chapter 3? 

askIITians experts have created NCERT Solutions, revision notes, mind maps, flashcards, extra questions, and practice worksheets for this chapter so that you can practice every concept easily. 

 

3. What is the main topic of NCERT Class 10 Maths Chapter 3 Ex 3.4? 

Exercise 3.4 of Class 10 Maths NCERT Chapter 3 is based on the elimination method using which we can find the solutions of a pair of linear equations in two variables. 


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