Quadrilateral LMNO has diagonals that intersect at point P. If LP = 6x – 5, MP = y + 25, NP = 4x + 17, and OP = 5y + 29, find the values of x and y such that LMNO is a parallelogram.
This question is worded slightly strangely but I believe I understand it. To eliminate x, multiply the second equation by 8, so that it becomes 4x + .8y= 96 Then you can subtract 4x on the top by 4x on the bottom to eliminate it.