# Example 14 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Example 14 From a bus stand in Bangalore , if we buy 2 tickets to Malleswaram and 3 tickets to Yeshwanthpur, the total cost is Rs.46; but if we buy 3 tickets to Malleswaram and 5 tickets to Yeshwanthpur the total cost is Rs 74. Find the fares from the bus stand to Malleswaram, and to Yeshwanthpur. Let the price of 1 ticket to Malleswaram = x & price of 1 ticket to Yeshwanthpur = y Given that, if we buy 2 tickets to Malleswaram and 3 tickets to Yeshwanthpur, the total cost is Rs.46 2x + 3y = 46 Also, if we buy 3 tickets to Malleswaram and 5 tickets to Yeshwanthpur the total cost is Rs 74 3x + 5y = 74 So, our two equations are 2x + 3y = 46 ….(1) 3x + 5y = 74 …(2) We will solve these by cross-multiplication For cross-multiplication 2x + 3y – 46 = 0 3x + 5y – 74 = 0 Now, 𝑥/8 = 1/1 x = 8 × 1 ∴ x = 8 Therefore, x = 8 , y = 10 is the solution of our equation Hence, Fare to Malleswaram = Rs 8 Fare to Yeshwanthpur = Rs 10

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.