Ex 3.2, 3 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 9

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Ex 3.2, 3 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 10

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

Transcript

Ex 3.2, 3 On comparing the ratios ๐‘Ž1/๐‘Ž2 , ๐‘1/๐‘2 & ๐‘1/๐‘2 , find out whether the following pair of linear equations are consistent, or inconsistent. (v) 4/3 x + 2y = 8 ; 2x + 3y = 12 4/3 x + 2y โ€“ 8 = 0 2x + 3y โ€“ 12 = 0 ๐Ÿ’/๐Ÿ‘ x + 2y โ€“ 8 = 0 Comparing with a1x + b1y + c1 = 0 โˆด a1 = 4/3 , b1 = 2 , c1 = โ€“8 2x + 3y โ€“ 12 = 0 Comparing with a2x + b2y + c2 = 0 โˆด a2 = 2, b2 = 3, c2 = โˆ’12 โˆด a1 = 4/3 , b1 = 2 , c1 = โ€“ 8 & a2 = 2, b2 = 3 c2 = โˆ’12 ๐’‚๐Ÿ/๐’‚๐Ÿ ๐‘Ž1/๐‘Ž2 = (4/3)/2 ๐‘Ž1/๐‘Ž2 = 4/(3 ร— 2) ๐‘Ž1/๐‘Ž2 = 2/3 ๐’ƒ๐Ÿ/๐’ƒ๐Ÿ ๐‘1/๐‘2 = 2/3 ๐’„๐Ÿ/๐’„๐Ÿ ๐‘1/๐‘2 = (โˆ’8)/(โˆ’12) ๐‘1/๐‘2 = 2/3 Since ๐‘Ž1/๐‘Ž2 = ๐‘1/๐‘2 = ๐‘1/๐‘2 We have infinitely many solutions Therefore, our system is consistent.

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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.