SOLUTION: If AB = 2x+y, BC = 3x-2y, DC= x+2y+2 and AD= x+2y, what values of x and y will make ABCD a parallelogram?

Algebra ->  Parallelograms -> SOLUTION: If AB = 2x+y, BC = 3x-2y, DC= x+2y+2 and AD= x+2y, what values of x and y will make ABCD a parallelogram?      Log On


   

Question 1164924: If AB = 2x+y, BC = 3x-2y, DC= x+2y+2 and AD= x+2y, what values of x and y will make ABCD a parallelogram?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
AB=CD so 2x+y=x+2y+2
x-y=2
BC=AD so 3x-2y=x+2y
2x=4y
so x=2y
but x-y=2
so y=2
x=4