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Ex 3.1, 4 Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically (ii) x – y = 8, 3x – 3y = 16 x – y = 8 3x – 3y = 16 x – y = 8 x – y – 8 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 1 , b1 = –1 , c1 = –8 3x – 3y = 16 3x – 3y – 16 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 3 , b2 = –3 , c2 = –16 ∴ a1 = 1 , b1 = –1 , c1 = –8 & a2 = 3 , b2 = –3 , c2 = –16 Since 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 We have no solution Therefore, our system is inconsistent

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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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo