I have been trying to solve this problem for a long time, but unfortunately couldn`t find any solution.

In the picture, you see, there are the two lines A-B and D-E. Suppose, their coordinates are defined and known. They intersect at the point C, and I must get the coordinates of this point.

I have tried to create some equalities, but couldn`t have a success.

Would you please share your ideas with me, to solve this.

Thanks in advance.