Example 3 - Find four different solutions of x + 2y = 6 - Solution of linear equation

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Example 3 Find four different solutions of the equation x + 2y = 6. For x = 0, 0 + 2y = 6 2y = 6 y = 6/2 = 3 So, (0, 3) is also a solution For y = 0, x + 2(0) = 6 x + 0 = 6 x = 6 So, "(6, 0)" is a solution For x = 1, (1) + 2y = 6 1 + 2y = 6 2y = 6 – 1 2y = 5 y = 5/2 So, (1, 5/2) is also a solution For y = 1 x + 2(1) = 6 x + 2 = 6 x = 6 – 2 x = 4 So, (4, 1) is also a solution So four solutions of the given equation are: (0, 3), (6, 0) , (1, 5/2) and (4, 1).

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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.