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Example 3 - Two rails are represented by  x + 2y - 4 = 0

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

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Example 3 Two rails are represented by the equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0. Represent this situation geometrically. Let equations be x + 2y = 4 2x + 4y = 12 For Equation (1) x + 2y = 4 Let x = 0 0 + 2y = 4 2y = 4 y = 4/2 y = 2 So, x = 0, y = 2 is a solution i.e. (0, 2) is a solution Let y = 0 x + 2(0) = 4 x = 4 So, x = 4, y = 0 is a solution i.e. (4, 0) is a solution For Equation (2) 2x + 4y = 12 Let x = 0 2(0) + 4y = 12 4y = 12 y = 12/4 y = 3 So, x = 0, y = 3 is a solution i.e. (0, 3) is a solution Let y = 0 2x + 4(0) = 12 2x = 12 x = 12/2 x = 6 So, x = 6, y = 0 is a solution i.e. (6, 0) is a solution We will plot both equations on the graph

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Davneet Singh

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.