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# RD Sharma Class 10 Solutions Chapter 3 - Pair of Linear Equations in Two Variables Exercise 3.9 - Free PDF

Last updated date: 23rd May 2024
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## Free PDF download of RD Sharma Class 10 Solutions Chapter 3 - Pair of Linear Equations

Free PDF download of RD Sharma Class 10 Solutions Chapter 3 - Pair of Linear Equations in Two Variables Exercise 3.9 solved by Expert Mathematics Teachers on Vedantu.com. Every NCERT Solution is provided to make the study simple and interesting on Vedantu. Vedantu.com is No.1 Online Tutoring Company in India Provides you Free PDF download of Class 10 Maths NCERT Solutions solved by Expert Teachers as per NCERT (CBSE) Book guidelines.

All the students find mathematics difficult. These mathematical related problems can be easily solved using easy methods of linear pairs of equations in two variables. Refer to the RD Sharma Solutions Class 10 to learn how to learn this correctly. For any reference relating to this exercise, students can use the RD Sharma Solutions for Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Exercise 3.9 PDF provided by Vedantu.

Pair of Linear Equations in Two Variables Chapter 3 by RD Sharma Class 10 Solutions-  Students can study and prepare for their board exams using RD Sharma Solutions for Class 10 Maths Chapter 3. RD Sharma Class 10 Solutions will help students who are having difficulty comprehending and solving problem solutions. In order to fulfil the demands of the students, Vendantu professionals developed these answers with their concept levels in mind. Students can obtain these solutions in PDF format by downloading  the provided links.

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## Class 10 RD Sharma Solutions, Chapter 3 Exercise 3.9

The methods for solving linear pairs of equations in two variables can easily solve the difficulties faced by students. To know how to do this correctly, consult the RD Sharma Class 10 Solutions. For any reference relating to this activity, students can use the RD Sharma Solutions for Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Activity 3.9 PDF provided below.

Example: A father's age is three times that of his son's. His age will be double that of his son after twelve years. Determine their current ages.

Solutions:

We Know that the present ages of the father are x years and that of his son’s age as y years.

From the question,

Father is 3 times as old as his son.

Hence, the equation formed is

x = 3y

⇒ x – 3y = 0……. (i)

Also, From the question it’s given as,

After 12 years, father’s age will be (x+12) years and son’s age will be (y+12) years.

Furthermore, the relation between their ages after 12 years is given below

x + 12 = 2(y + 12)

⇒ x + 12 = 2y + 24

⇒ x – 2y – 12 = 0…… (ii)

By solving (i) and (ii), we get the solution

By using cross-multiplication, we have

x = 36, y = 12

Therefore, the present age of father is 36 years and the present age of son is 12 years.

### Chapter 3: Important Topics RD Sharma Class 10 Solutions

• Systems of two-variable linear equations

• The solution of a two-variable system of linear equations

• Substitution, elimination, and cross-multiplication methods are graphical and algebraic methods for solving a system of linear equations in two variables.

• A system of equations that is both consistent and inconsistent.

• Linear equations in two variables are used to solve simple issues in a variety of fields.

### Conclusion

You can also register Online for NCERT Solutions Class 10 Science tuition on Vedantu.com to score more marks in CBSE board examination. All Chapter wise Questions with Solutions will help you to revise complete Syllabus and Score More marks in your examinations.

## FAQs on RD Sharma Class 10 Solutions Chapter 3 - Pair of Linear Equations in Two Variables Exercise 3.9 - Free PDF

1. Is the RD Sharma Class 10 Solutions Chapter 3 - Pair of Linear Equations in Two Variables (Ex 3.9) Exercise 3.9 - Free PDF useful?

Class 10 The RD Sharma  Solutions Chapter 3 - Pair of Linear Equations in Two Variables (Ex 3.9) Exercise 3.9 - Free PDF is very helpful for students who want to prepare themselves for entrance examinations. The book is not only useful to those aspiring to be doctors and engineers but can help you score good in boards. The syllabus is in accordance with NCERT. The book has all types of questions. One can start with simpler problem solutions and practice accordingly.

2. Can the RD Sharma Class 10 Solutions Chapter 3 - Pair of Linear Equations in Two Variables (Ex 3.9) Exercise 3.9 - Free PDF help in NEET entrance examinations?

The NEET entrance examinations are conducted for the medical aspirants at a national level. The syllabus comprises all the school syllabus. Class 10’s syllabus is important and one needs to understand all the basic concepts thoroughly. Class 10 The RD Sharma Chapter 3 Solutions  - Pair of Linear Equations in Two Variables (Ex 3.9) Exercise 3.9 - Free PDF is one such example.

3. What all is included is RD Sharma Class 10 Solutions Chapter 3 - Pair of Linear Equations in Two Variables (Ex 3.9) Exercise 3.9 - Free PDF?

The RD Sharma Class 10 Solutions Chapter 3 - Pair of Linear Equations in Two Variables (Ex 3.9) Exercise 3.9 - Free PDF includes theorems, properties and variable forms of Linear equations in two variables. The team of experts at Vedantu provides step by step explanations of each topic. The exercises provided by teachers at Vedantu are well explanatory and guided. You can download the PDF from Vedantu now and start learning. Regular practice and problem solving techniques can help you attain good marks.

4. What all should I study along with RD Sharma Class 10 Solutions Chapter 3 - Pair of Linear Equations in Two Variables (Ex 3.9) Exercise 3.9 - Free PDF ?

Students should abide by their main course book or syllabus book (NCERT) along with the  Class 10 RD Sharma Solutions Chapter 3 - Pair of Linear Equations in Two Variables (Ex 3.9) Exercise 3.9 - Free PDF. Both the books can train you in Linear equations in two variables. Practice is the key to success. Hence practice with the help of a guide and syllabus book. Regular practice and dedication of the students can help you with the entrances and board examinations.

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Study materials at Vedantu are reviewed and revised from time to time by the team of experts. The difficulty level at Vedantu is maintained as standard. Teachers are available to guide students if they encounter any difficulty while studying. The syllabus is well explanatory and provided in a simple step-by-step manner. Register for online coaching classes at Vedantu now. It can help you cope with class 10’s mathematics and help you build a strong base for NEET and JEE.