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A lattice point is a point ( x x , y y ) where both x x and y y are integers. For how many different integer values of k k will the two lines k x kx - 5 y y + 7 = 0 and k k x k * k * x - 5 y y + 1 = 0 intersect at a lattice point?

4 5 3 2 1

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