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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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Example 7 Two rails are represented by the equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0. Will the rails cross each other? Given equations are x + 2y = 4 2x + 4y = 12 We need to check if the rails cross each other i.e. if both equations form a unique solution From (1) x + 2y – 4 = 0 x = 4 – 2y Substitute the value of x in equation (2) 2x + 4y – 12 = 0 2 (4 – 2y) + 4y – 12 = 0 8 – 4y + 4y – 12 = 0 −4 = 0 Which is not correct Thus, The Given equations do not have a solution So , the two rails will not cross each other.

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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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.