Hello. I have this question related to Co-ordinate geometry that I have trouble solving. 1. The problem statement, all variables and given/known data A line is drawn through the point A (1,2) to cut the line 2y=3x-5 in P and the line x+y=12 in Q. If AQ=2AP, find the co-ordinates of P and Q. 2. Relevant equations 3. The attempt at a solution It apparently has 2 solutions, according to this website: http://mathforum.org/library/drmath/view/53178.html I'm supposed to find out the exact co-ordinates without having to do any kind of graphical work. I couldn't make any reasonable attempt.