# 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,

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