Which of pairs of linear equations are consistent? If consistent, find - Ex 3.1

part 2 - Ex 3.1, 4 (iv) - Ex 3.1 - Serial order wise - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

Remove Ads

Transcript

Ex 3.1, 4 Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically (iv) 2x – 2y – 4 = 0, 4x – 4y – 5 = 0 2x – 2y – 4 = 0 4x – 4y – 5 = 0 2x – 2y – 4 = 0 Comparing with a1x + b1y + c1 = 0 ∴ a1 = 2 , b1 = −2 , c1 = –4 4x – 4y – 5 = 0 Comparing with a2x + b2y + c2 = 0 ∴ a2 = 4 , b2 = –4 , c2 = –5 a1 = 2 , b1 = −2 , c1 = –4 a2 = 4 , b2 = –4 , c2 = –5 Since 𝑎1/𝑎2 = 𝑏1/𝑏2 ≠ 𝑐1/𝑐2 We have no solution Therefore, our system is inconsistent

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