One of the most important and conceptual question from linear equations in two variables in which we have given two equations 2x+3y-5=0, kx-6y-8=0 and we have to solve the equations in such a way that it has a unique solution and also we have to find the value of k

Kindly solve the above equations

RS Aggarwal, Class 10, chapter 3D, question no 4

2x+2y−5=0.....(1)

kx−6y−8=0....(2)

a1=2, b1=3, c=−5

a2=k, b2=−6, c2=−8

a1/a2=2/k, b1/b2=3/−6

Which shows

a1/a2≠b1/b2

System has a unique solution.

Now. Find the value of k:

2/k≠3/−6

k≠−4