Read and download CBSE Class 10 Maths Linear Equations in NCERT book for Class 10 Mathematics. You can download latest NCERT eBooks chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 10 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 10 Mathematics to understand the answers of the exercise questions given at the end of this chapter
NCERT Book for Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables
Class 10 Mathematics students should refer to the following NCERT Book Chapter 3 Pair of Linear Equations in Two Variables in Class 10. This NCERT Book for Class 10 Mathematics will be very useful for exams and help you to score good marks
Chapter 3 Pair of Linear Equations in Two Variables NCERT Book Class 10
Linear Equations in two variables in two
variables
Linear equation in two variables can be written as :-
ax+by+c=0 and a, b and c are real numbers.
This equation has infinitely many solution. When we consider two linear equation together then we say it a system of two variable x and y. such as.
5x + 3y + 2 = 0
2x - 3y + 5 = 0
Algebraic solution of system of linear equation:
1. Elimination by substitution:
Let us consider a system of linar equations:
From equation (1) we get
x = (1 + 7y)/2
Putting the value of x in e.q. (2) we get
Or, 2 + 14y + 3y = 15
Or, 17y = 13
Or, y = 13/17
Putting value of y in eq (1) we get
Or, 2x = 1 + 91/17
Or, 2x = (17+91)/17
Or, x = 108/34
Or, x = 54/17
x=54/17, y=13/17
Exercise
1. If twice the son’s age in years is added to the age of his father the sum is 90. If twice the father’s age in year is added to the age of the son, the sun in 120. Find their ages.
2. Ram is three times as old as Rahim. Five years later, Ram will be two-and-a –half times as old as Rahim. How old are Ram and Rahim now?
3. If the numerator of a fraction is multiplied by 2 and its denominator is increased by 2, it becomes 6/7. If instead we multiply the denominator by 2 and increase the numerator by 2 it reduces to 1/2. What is the fraction?
4. A fraction becomes 4/5 if 1 is added to each of the numerator and the denominator. However, if we subtract 5 from each, the fraction becomes 1/2 find the fraction.
5. If we add 1 in the numerator of a fraction and subtract 1 from its denominator, the fraction becomes 1, It is also given that the fraction becomes 1/2 when we add 1 to its denominator, and then what is the fraction.
6. If we add 5 to the denominator and subtract 5 from the numerator of fraction, it reduces to 1/7 if we subtract 3 from the numerator and add 3 to its denominator it reduces to 1/3. Find the fraction.
7. The denominator of a fraction is 4 more than twice the numerator. When both the numerator and denominator are decreased by 6, then the denominator becomes 12 times the numerator. Determine the fraction.
8. The sum of the numerator and denominator of a fraction is 4 more than twice the numerator if the numerator and denominator are increased by 3, they are is the ratio 2 : 3. Determine the fraction.
9. Two audio cassettes and three video cassettes cost Rs. 340. but three audio cassettes and two video cassettes cost Rs 260. Find the price of an audio cassettes and that of a video cassettes.
10. Mala purchased 5 chairs and 2 tables for Rs. 1625. Reshma purchased 2 chairs and 1 table for Rs. 750. Find the cost per chair and per table.
Please refer to attached file for CBSE Class 10 Maths Linear Equations
| NCERT Class 10 Maths Real Numbers |
| NCERT Class 10 Maths Real Numbers Questions |
| NCERT Class 10 Maths Polynomials |
| NCERT Class 10 Maths Polynomials Questions |
| CBSE Class 10 Maths Linear Equations |
| NCERT Class 10 Maths Pair Of Linear Equations |
| NCERT Class 10 Maths Pair Of Linear Equations Questions |
| NCERT Class 10 Maths Quadratic Equations |
| NCERT Class 10 Maths Quadratic Equations Questions |
| CBSE Class 10 Maths Arithmetic Progressions |
| NCERT Class 10 Maths Arithmetic Progressions |
| NCERT Class 10 Maths Arithmetic Progressions Questions |
| CBSE Class 10 Maths Similar Triangles |
| NCERT Class 10 Maths Triangles |
| NCERT Class 10 Maths Triangles Questions |
| CBSE Class 10 Maths Coordinate Geometry |
| NCERT Class 10 Maths Coordinate Geometry |
| NCERT Class 10 Maths Coordinate Geometry Questions |
| NCERT Class 10 Maths Introduction To Trigonometry |
| NCERT Class 10 Maths Introduction To Trigonometry Questions |
| NCERT Class 10 Maths Some Applications Of Trigonometry |
| NCERT Class 10 Maths Circles |
| NCERT Class 10 Maths Circles Questions |
| NCERT Class 10 Maths Constructions |
| NCERT Class 10 Maths Constructions Questions |
| NCERT Class 10 Maths Areas Related To Circles |
| NCERT Class 10 Maths Areas Related To Circles Questions |
| NCERT Class 10 Maths Surface Areas And Volumes |
| NCERT Class 10 Maths Surface Areas And Volumes Questions |
| NCERT Class 10 Maths Statistics |
| NCERT Class 10 Maths Statistics Questions |
| CBSE Class 10 Maths Probability |
| NCERT Class 10 Maths Probability |
| NCERT Class 10 Maths Answers and Solutions |
| NCERT Class 10 Maths Proofs In Mathematics |
| NCERT Class 10 Maths Mathematical Modelling |
Mathematics NCERT Book Class 10 Chapter 3 Pair of Linear Equations in Two Variables
The above NCERT Books for Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables have been published by NCERT for latest academic session. The textbook by NCERT for Chapter 3 Pair of Linear Equations in Two Variables Mathematics Class 10 is being used by various schools and almost all education boards in India. Teachers have always recommended students to refer to Chapter 3 Pair of Linear Equations in Two Variables NCERT etextbooks as the exams for Class 10 Mathematics are always asked as per the syllabus defined in these ebooks. These Class 10 Chapter 3 Pair of Linear Equations in Two Variables book for Mathematics also includes collection of question. We have also provided NCERT solutions for Class 10 Mathematics which have been developed by teachers of StudiesToday.com after thorough review of the latest book and based on pattern of questions in upcoming exams for Class 10 students.
NCERT Book Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables
The latest NCERT book for Chapter 3 Pair of Linear Equations in Two Variables pdf have been published by NCERT based on the latest research done for each topic which has to be taught to students in all classes. The books for Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables are designed to enhance the overall understanding of students. All Class 10 NCERT textbooks have been written in an easy to understand language which will help to enhance the overall level of Class 10 students.
Chapter 3 Pair of Linear Equations in Two Variables NCERT Book Class 10 Mathematics
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Class 10 Mathematics Chapter 3 Pair of Linear Equations in Two Variables NCERT Book
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Class 10 Chapter 3 Pair of Linear Equations in Two Variables NCERT Book Mathematics
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