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From a bus stand in Bangalore, if we buy tickets Malleswaram, Yeshwant

Example 14 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 2
Example 14 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 3 Example 14 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 4 Example 14 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 5

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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 = Rs x & Price of 1 ticket to Yeshwanthpur = Rs 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 𝒚/𝟏𝟎 = 𝟏/𝟏 y = 10 × 1 ∴ y = 10 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.