This is the basic and conceptual question from linear equations in two variables in which we have given two equations 8x+5y=9, kx+10y=15 and we have to solve the equations in such a way that it has no solution and also asked to find the value of k from the above equations
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3D, question no 27
For the system to have infinitely many solutions, lines must coincide each other
⇒ratio of respective coefficients must be equal (x, y and constant coefficients)
⇒8/k=5/10=9/18
⇒k=16