If ON=2x-3, LM=7x+2, NM=x+6, and OL=6y-3, find the values of x and y for which LMNO must be parallelogram.

Answer 1

To be a parallogram, ON = LM
2x-3 = 7x+2
-5x = 5
x = -1

and 6y-3 = x+6
6y = -1+6+3
y = 8/6 = 4/3