Find the value of k for which each of the following systems of equations has a unique solution:

x - ky = 2, 3x + 2y + 5 = 0.

Given: x - ky = 2 – eq 1


3x + 2y + 5 = 0 – eq 2


Here,


a1 = 1, b1 = - k, c1 = - 2


a2 = 3, b2 = 2, c2 = 5


Given systems of equations has a unique solution


∴



2 ≠ - 3k


- 3k ≠2



5