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Ex 3.1, 2 - The coach of a cricket team buys 3 bats and 6 balls - Forming equations graphically and algebraically

  1. Chapter 3 Class 10 Pair of Linear Equations in Two Variables
  2. Serial order wise
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Ex 3.1,2 The coach of a cricket team buys 3 bats and 6 balls for Rs 3900. Later, she buys another bat and 3 more balls of the same kind for Rs 1300. Represent this situation algebraically and geometrically. Let the cost of one bat be Rs x & Let the cost of one ball be Rs y 3 bats and 6 balls cost Rs 3900 3 × Cost of one bat + 6 × Cost of one ball = 3900 3x + 6y = 3900 3x + 6y – 3900 = 0 3(x + 2y – 1300) = 0 (x + 2y – 1300) = 0/3 Also, 1 bat and 3 balls cost Rs 1300 1 × Cost of one bat + 3 × Cost of one ball = 1300 x + 3y = 1300 x + 3y – 1300 = 0 Now, plotting equations x – 7y + 42 = 0 ...(1) x – 3y − 6 = 0 …(2) Solving equation (1) , x + 2y – 1300 = 0 2y = 1300 - x y = (1300 − 𝑥)/2 Solving equation (2) , x + 3y – 1300 = 0 3y = 1300 - x y = (1300 − 𝑥)/3

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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