Question

For the following systems of equations determine the value of k for which the given system of equations has a unique solution: 2x+3y−5=0; kx−6y−8=0

Answer 1

For the system to have unique solutions, the lines represented by this system should not be parallel (⇒ they should be intersecting)

So, slopes should not be equal

⇒ Since slopes of lines are -2/3 and k/6; k can be any value other than -4

Answer 2

a1/a2 is not equal to b1/b2 put the value and solve it . 2/k is not equal to 3/6