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Chapter 3 Class 10 Pair of Linear Equations in Two Variables
Example 7 Important
Example 8 Important
Example 10 Important
Question 4 Important Deleted for CBSE Board 2024 Exams
Question 9 Important Deleted for CBSE Board 2024 Exams
Ex 3.1, 1 (i) Important
Ex 3.1, 3 (i) Important
Ex 3.1, 6 Important
Question 2 (i) Important Deleted for CBSE Board 2024 Exams
Ex 3.1, 7 Important
Question 1 (i) and (ii) Important Deleted for CBSE Board 2024 Exams
Question 1 (iii) and (iv) Deleted for CBSE Board 2024 Exams
Question 1 (v) and (vi) Important Deleted for CBSE Board 2024 Exams
Question 1 (vii) and (viii) Important Deleted for CBSE Board 2024 Exams
Question 2 (i) Important Deleted for CBSE Board 2024 Exams
Chapter 3 Class 10 Pair of Linear Equations in Two Variables
Last updated at June 14, 2023 by Teachoo
Example 3 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) 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 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 Thus, Number of pants bought by Champa = x = 1 Number of skirts bought by Champa = y = 0