Ex 3.1, 3 (v) - Class 10 Maths - Check if linear equations are consist - Ex 3.1

part 2 - Ex 3.1, 3 (v) - Ex 3.1 - Serial order wise - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

Remove Ads

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. (v) 4/3 x + 2y = 8 ; 2x + 3y = 12 4/3 x + 2y – 8 = 0 2x + 3y – 12 = 0 𝟒/𝟑 x + 2y – 8 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 4/3 , b1 = 2 , c1 = –8 2x + 3y – 12 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 2, b2 = 3, c2 = −12 ∴ a1 = 4/3 , b1 = 2 , c1 = – 8 & a2 = 2, b2 = 3 c2 = −12 Since 𝑎1/𝑎2 = 𝑏1/𝑏2 = 𝑐1/𝑐2 We have infinitely many solutions Therefore, our system is consistent.

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo