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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Ex 3.1, 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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.