Learn all Concepts of Chapter 3 Class 10 (with VIDEOS). Check - Linear Equations in 2 Variables - Class 10

Last updated at Dec. 18, 2020 by Teachoo

Learn all Concepts of Chapter 3 Class 10 (with VIDEOS). Check - Linear Equations in 2 Variables - Class 10

Transcript

Example 6 Champa went to a ‘Sale’ to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, “The number of skirts is two less than twice the number of pants purchased. Also, the number of skirts is four less than four times the number of pants purchased”. Help her friends to find how many pants and skirts Champa bought. Let Number of pants purchased by Champa be x & Number of skirts purchased by Champa be y Given that Number of skirts is two less than twice the number of pants purchased (Number of skirts purchased) = 2 × (Number of pants purchased) − 2 y = 2(x) − 2 2x − y = 2 Also, Number of skirts is 4 less than 4 times the number of pants purchased (Number of skirts purchased) = 4 × (Number pants purchased) − 4 y = 4(x) − 4 4x – y = 4 Now, plotting equations 2x − y = 2 ...(1) 4x – y = 4 …(2) For Equation (1) 2x − y = 2 Putting x = 0 2(0) − y = 2 0 − y = 2 y = −2 So, x = 0, y = −2 is a solution i.e. (0, −2) is a solution Putting y = 0 2x − 0 = 2 2x = 2 x = 2/2 x = 1 So, x = 1, y = 0 is a solution i.e. (1, 0) is a solution For Equation (1) 4x − y = 4 Putting x = 0 4(0) − y = 4 0 − y = 4 y = −4 So, x = 0, y = −4 is a solution i.e. (0, −4) is a solution Putting y = 0 4x − 0 = 4 4x = 4 x = 4/4 x = 1 So, x = 1, y = 0 is a solution i.e. (1, 0) is a solution We will plot both equations on the graph Therefore, Solution of the equations is (1, 0) Thus, Number of pants bought by Champa = x = 1 Number of skirts bought by Champa = y = 0

Chapter 3 Class 10 Pair of Linear Equations in Two Variables

Example 6
Important
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Example 10 Important

Example 11 Important

Example 13 Important

Example 14 Important

Example 19 Important

Ex 3.2, 1 Important

Ex 3.2, 3 Important

Ex 3.2, 6 Important

Ex 3.5, 2 Important

Ex 3.2, 7 Important

Ex 3.6, 1 (i) and (ii) Important

Ex 3.6, 1 (iii) and (iv) Important

Ex 3.6, 1 (v) and (vi) Important

Ex 3.6, 1 (vii) and (viii) Important

Ex 3.6, 2 (i) Important

Class 10

Important Questions for Exam - Class 10

- Chapter 1 Class 10 Real Numbers
- Chapter 2 Class 10 Polynomials
- Chapter 3 Class 10 Pair of Linear Equations in Two Variables
- Chapter 4 Class 10 Quadratic Equations
- Chapter 5 Class 10 Arithmetic Progressions
- Chapter 6 Class 10 Triangles
- Chapter 7 Class 10 Coordinate Geometry
- Chapter 8 Class 10 Introduction to Trignometry
- Chapter 9 Class 10 Some Applications of Trignometry
- Chapter 10 Class 10 Circles
- Chapter 11 Class 10 Constructions
- Chapter 12 Class 10 Areas related to Circles
- Chapter 13 Class 10 Surface Areas and Volumes
- Chapter 14 Class 10 Statistics
- Chapter 15 Class 10 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.