This is the basic and conceptual question from linear equations in two variables in which we have given two equations kx+3y=(2k+1), 2(k+1)x+9y=(7k+1) and we have to find the value of k for which it has infinite solutions
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3D, question no 17
For the system of equations to have infinitely many solutions, the lines must coincide.
⇒The ratio of corresponding coefficients must be equal.
⇒k/2(k+1)=3/9=(2k+1)/(7k+1)
Equation 1st and 2nd equality ;
⇒9k=6(k+1)
⇒k=2