I'm stuck on this question, would appreciate any help trying to figure this out:

Q)Two parallel lines and are crossed by a third line. Determine the coefficients of the third line such that the x-coordinate of the intersection of the two lines and is twice as much as that of the intersection of the two lines and ; and the y-coordinate of the intersection of the two lines and is twice as much as that of the intersection of the two lines and .

Calculate the coordinates of the two intersections.

I would appreciate any help on this.