Apurva Institute
3. Pair of Linear Equations in Two Variables-Exercise 3.2 Mathematics Class 10 In English
Last Updated : 06 March 2026
Get updated solved mathematics for class 10 chapter 3. Pair of Linear Equations in Two Variables Topic Exercise 3.2 with clear explanations free study material in English medium.
3. Pair of Linear Equations in Two Variables-Exercise 3.2 Mathematics Class 10 In English
Last Updated : 06 March 2026
3. Pair of Linear Equations in Two Variables-Exercise 3.2 Mathematics Class 10 In English
3. Pair of Linear Equations in Two Variables
Exercise 3.2
Exercise 3.2
Q1. Form the pair of linear equations in the following problems, and find their solutions graphically.
(i) 10 students of Class X took part in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
Solution:
Let the numbers of girls be x.
And the number of girls is y.
According to question
The total numbers of boys and girls is 10.
∴ x + y = 10 ……………….. (i)
There are 4 more girls than boys.
∴ x – y = 4 ……………….. (ii)
Table for equation (i)
Graph for these tables will be as follow -
(ii) 5 pencils and 7 pens together cost Rs 50, whereas 7 pencils and 5 pens together cost Rs 46. Find the cost of one pencil and that of one pen.
Solution:
Q5. Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
Solution: Let the length of rectangular garden be x m.
And breadth = y m
Semi-perimeter = 36 m
Q6. Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is:
(i) Intersecting lines
(ii) parallel lines
(iii) Coincident lines
Q7. Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
Why Our NCERT Solutions Is Matters For Your Study?
NCERT Solutions are one of the most trusted study resources for students preparing for school exams and board examinations. These solutions help students understand every concept clearly and improve their academic performance. In today’s competitive education system, simply reading the textbook is not enough. Students need proper explanations and accurate answers to understand topics in depth. That is why NCERT Solutions for Classes 6 to 12 are considered essential for effective learning and exam preparation.
On this page, students can find latest NCERT Solutions prepared according to the current CBSE syllabus. These solutions are created by subject experts to help students understand every question in a simple and easy way. With the help of chapter-wise NCERT answers, students can quickly revise important topics and strengthen their concepts. Whether you are preparing for school tests, annual exams, or board exams, these NCERT textbook solutions will guide you step by step.
NCERT Solutions for Class 10 mathematics Chapter 3. Pair of Linear Equations in Two Variables Topic Exercise 3.2
NCERT Solutions for Class 10 mathematics Chapter 3. Pair of Linear Equations in Two Variables Topic Exercise 3.2 are prepared to help students understand important concepts of the chapter in a simple and clear manner. These solutions are based on the latest CBSE syllabus and follow the official NCERT textbooks. Students who are searching for accurate answers and step-by-step explanations can use these solutions to improve their learning and prepare better for school exams as well as board examinations.
In this section you will find Class 10 mathematics NCERT Solutions covering important questions, explanations and concept-based answers. Each question from the NCERT book is solved carefully so that students can understand how to write answers correctly in examinations. These solutions are also useful for quick revision before tests and assignments.
Why NCERT Solutions Are Important for Class 10 mathematics
NCERT books are considered the most reliable study material for CBSE students. Most examination questions are directly based on NCERT textbooks. Therefore studying NCERT Solutions for Class 10 mathematics helps students understand the exact pattern of questions and the correct method of answering them.
By practicing the questions from Chapter 3. Pair of Linear Equations in Two Variables, students can strengthen their conceptual knowledge and improve their analytical thinking skills. These solutions also help students identify the most important topics and prepare effectively for school examinations.
About Chapter 3. Pair of Linear Equations in Two Variables of Class 10 mathematics
Chapter 3. Pair of Linear Equations in Two Variables is an important part of the Class 10 mathematics syllabus. This chapter explains several key concepts which are essential for understanding the subject in detail. Students often face difficulties while solving textbook questions related to this chapter. That is why NCERT Solutions for Chapter 3. Pair of Linear Equations in Two Variables are provided to explain every concept in a simple and structured way.
The explanations provided here follow the official NCERT approach so that students can easily relate them to their textbook content. By studying these answers carefully, students can learn how to structure their answers and present them clearly in exams.
Understanding Topic: Exercise 3.2
The topic Exercise 3.2 plays a significant role in Class 10 mathematics Chapter 3. Pair of Linear Equations in Two Variables. Students must understand this topic clearly because it often appears in examinations in the form of short answer or long answer questions. The solutions provided here explain the topic in a step-by-step format so that students can easily grasp the concept.
By studying Exercise 3.2 carefully, students can build a strong foundation in the subject and improve their overall academic performance. These solutions also help students revise the topic quickly before examinations.
Benefits of Using NCERT Solutions
- Concept clarity: Each answer explains the concept in simple language.
- Exam preparation: Solutions follow the CBSE exam pattern.
- Quick revision: Students can revise important questions quickly.
- Accurate answers: All solutions are based on the official NCERT textbook.
- Better understanding: Step-by-step explanations improve learning.
Students studying NCERT Solutions for Class 10 mathematics Chapter 3. Pair of Linear Equations in Two Variables can easily understand the important points of the chapter. These solutions are also useful for completing homework assignments and preparing for tests.
Study NCERT Solutions in english
These solutions are available in english medium so that students can easily understand the concepts in their preferred language. Whether students are studying in Hindi medium or English medium, these solutions help them learn the subject more effectively and prepare confidently for examinations.
By practicing questions from Class 10 mathematics Chapter 3. Pair of Linear Equations in Two Variables Topic Exercise 3.2, students can strengthen their conceptual understanding and improve their problem-solving skills.
Conclusion
In conclusion, NCERT Solutions for Class 10 mathematics Chapter 3. Pair of Linear Equations in Two Variables Topic Exercise 3.2 provide complete guidance for students who want to understand the chapter thoroughly. These solutions make learning easier, help students revise important concepts and improve their exam performance. Students should practice these answers regularly to build strong fundamentals and achieve better results in their examinations.
3. Pair of Linear Equations in Two Variables-Exercise 3.2 Mathematics Class 10 In English
Hindi Medium Students/Teachers/Tutors:
All Chapters mathematics Class 10
Class Wise NCERT Solutions
Students can find NCERT Solutions for Class 6, Class 7, Class 8, Class 9, Class 10, Class 11, and Class 12 on this page. Each class includes detailed solutions for important subjects such as Science, Mathematics, Social Science, English, and Hindi. These solutions are carefully prepared to ensure accuracy and clarity.
- NCERT Solutions for Classes 6 to 8 – Ideal for building strong basic concepts.
- NCERT Solutions for Classes 9 and 10 – Helpful for board exam preparation.
- NCERT Solutions for Classes 11 and 12 – Important for advanced concepts and competitive exams.
3. Pair of Linear Equations in Two Variables-Exercise 3.2 Mathematics Class 10 In English Study Materials For Class 6 to 12
Benefits of Studying with NCERT Solutions
Using online NCERT Solutions makes learning easier and more convenient. Students can access the study material anytime and anywhere using their mobile phone, tablet, or computer. This flexibility helps students manage their study time more efficiently and prepare better for exams.
- Easy online access anytime and anywhere.
- Time-saving preparation with ready solutions.
- Better practice with accurate answers.
- Effective revision before exams.
Improve Your Learning with NCERT Solutions
Regular practice with NCERT textbook solutions helps students strengthen their understanding of each subject. These solutions not only help students complete their homework but also improve their analytical and problem-solving skills. By studying chapter-wise answers, students can learn the correct way to write answers in exams and score better marks.
If you want to improve your academic performance, start studying with free NCERT Solutions for all classes. These solutions are designed to make learning simple, clear, and effective for every student. Choose your class, explore the chapters, and begin your preparation with the latest NCERT Solutions today.