This is the basic and conceptual question from linear equations in two variables in which we have given two equations 2x+3y-5=0, 4x+ky-10=0 and we have to find the value of k for which the given equations have infinite number of solutions
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3F, question no 18
2x+3y−5=0
4x+ky−10=0
Here a1​=2, b1​=3, c1​=−5
a2​=4, b2​=k, c2​=−10
For infinite solution
a1/​a​2=b1/​b1​2=c1/c2​​
2/4​=3/k​=−5/−10​
1​/2=3/k​=1/2​
k=6