Example 16 - For what values of k will the pair of linear - Cross Multiplication Method

  1. Chapter 3 Class 10 Pair of Linear Equations in Two Variables
  2. Serial order wise
Ask Download

Transcript

Example 16 For what values of k will the following pair of linear equations have infinitely many solutions? kx + 3y – (k-3) = 0 12x + ky – k = 0 kx + 3y – (k – 3) = 0 12x + ky – k = 0 Since equation has infinite number of solutions So, 𝑎1/𝑎2 = 𝑏1/𝑏2 = 𝑐1/𝑐2 Putting in values 𝑘/12 = 3/𝑘 = (−(𝑘−3))/(−𝑘) 𝑘/12 = 3/𝑘 = (𝑘 −3)/𝑘 Therefore, k = 6 satisfies both equations. Hence k = 6 is the answer

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.