What value of k (if any) ensures that the system of linear equations given below has infinitely many solutions?

Question

What values of  k (if any) ensures that the system of linear equations given below has infinitely many solutions?

5x +2ky = 4k 

(k²-9) y = k + 3 

Answer 1

For the system to have an unlimited number of solutions one equation must be a multiple of the other.

That is not the case for the system presented.