Write the value of k for which the system of equations 3x + ky = 0, 2x – y = 0 has a unique solution.

There are two equations given in the question:

3x + ky = 0 …(i)


And, 2x – y = 0 …(ii)


These given equations are in the form a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 where,


a1 = 3, b1 = k and c1 = 0


Also, a2 = 2 + b2 = – 1 and c2 = 0


Now, for the given pair have a unique solution we must have:





Hence,


6