Last updated at Dec. 16, 2024 by Teachoo
Question 1 The pair of equations 5x – 15y = 8 and 3x – 9y = 24/5 has one solution (B) two solutions (C) infinitely many solutions (D) no solution 5x – 15y = 8 3x – 9y = 24/5 5x – 15y − 8 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 5 , b1 = −15 , c1 = −8 3x − 9y – 𝟐𝟒/𝟓 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 3 , b2 = −9 , c2 = (−24)/5 ∴ a1 = 5 , b1 = −15 , c1 = −8 & a2 = 3 , b2 = −9 , c2 = (−24)/5 Since 𝑎1/𝑎2 = 𝑏1/𝑏2 = 𝑐1/𝑐2 So, we have infinite solutions So, correct answer is (c)
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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