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

Ex 3.2, 3 - Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Part 4

 

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Ex 3.2, 3 On comparing the ratios 𝑎1/𝑎2 , 𝑏1/𝑏2 & 𝑐1/𝑐2 , find out whether the following pair of linear equations are consistent, or inconsistent. (ii) 2x - 3y = 8 ; 4x - 6y = 9 2x – 3y − 8 = 0 4x – 6y – 9 = 0 2x – 3y − 8 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 2 , b1 = −3 , c1 = – 8 4x – 6y – 9 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 4 , b2 = –6 , c2 = –9 ∴ a1 = 2, b1 = −3 , c1 = −8 a2 = 4, b2 = −6, c2 = −9 𝒂𝟏/𝒂𝟐 𝑎1/𝑎2 = 2/4 𝑎1/𝑎2 = 1/2 𝒃𝟏/𝒃𝟐 𝑏1/𝑏2 = (−3)/(−6) 𝑏1/𝑏2 = 1/2 𝒄𝟏/𝒄𝟐 𝑐1/𝑐2 = (−8)/(−9) 𝑐1/𝑐2 = 8/9 Since 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 We have no solution. Therefore, our system is inconsistent.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.