Ex 3.2, 3 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 7

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Ex 3.2, 3 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 8

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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. (iv) 5x โ€“ 3y = 11 , โˆ’10x + 6y = โˆ’22 5x โ€“ 3y โ€“ 11 = 0 โˆ’10x + 6y + 22 = 0 5x โ€“ 3y โ€“ 11 = 0 Comparing with a1x + b1y + c1 = 0 โˆด a1 = 5 , b1 = โˆ’3 , c1 = โ€“ 11 โˆ’10x + 6y + 22 = 0 Comparing with a2x + b2y + c2 = 0 โˆด a2 = โˆ’ 10 , b2 = 6, c2 = 22 โˆด a1 = 5 , b1 = โˆ’3 , c1 = โ€“ 11 & a2 = โˆ’ 10 , b2 = 6, c2 = 22 ๐’‚๐Ÿ/๐’‚๐Ÿ ๐‘Ž1/๐‘Ž2 = 5/(โˆ’10) ๐‘Ž1/๐‘Ž2 = (โˆ’1)/2 ๐’ƒ๐Ÿ/๐’ƒ๐Ÿ ๐‘1/๐‘2 = (โˆ’3)/6 ๐‘1/๐‘2 = (โˆ’1)/2 ๐’„๐Ÿ/๐’„๐Ÿ ๐‘1/๐‘2 = (โˆ’11)/22 ๐‘1/๐‘2 = (โˆ’1)/2 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.