Question

Find value of k for unique solutions 3x+2y-4=0, kx-y-3=0

Answer 1

hope it helps.
happy maths

Answer 2

given system of equations
3x+2y=4--------------------------(1)
kx-y=3-----------------------------(2)
a1=3,  b1=2, c1=4
a2=k,   b2=-1, c2=3
for unique solution
a1/a2 is not equal to b1/b2
3/k is not equal to 2/-1
k is not equal to -3/2
hence the value of k can be any other number other than -3/2