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/a2=b1/b12=c1/c2
2/4=3/k=−5/−10
1/2=3/k=1/2
k=6