The pair of equations 5x – 15y = 8 and 3x – 9y = 24/5 has

(A)one solution                                 (B) two solutions

(C) infinitely many solutions             (D) no solution

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  1. Chapter 3 Class 10 Pair of Linear Equations in Two Variables (Term 1)
  2. Serial order wise

Transcript

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 𝒂𝟏/𝒂𝟐 𝑎1/𝑎2 = 5/3 𝒃𝟏/𝒃𝟐 𝑏1/𝑏2 = (−15)/(−9) 𝑏1/𝑏2 = 5/3 𝒄𝟏/𝒄𝟐 𝑐1/𝑐2 = (−8)/(−24/5) 𝑐1/𝑐2 = (−8 × 5)/(−24) 𝑐1/𝑐2 = 5/3 Since 𝑎1/𝑎2 = 𝑏1/𝑏2 = 𝑐1/𝑐2 So, we have infinite solutions So, correct answer is (c)

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.