SOLUTION: Hi, I've been stuck on this problem for a long time now, and now I'm seeking for help to solve it. Assuming ABCD is a parallelogram, find x and y if: AB= 2x, BC= 3y+8, CD= 7x

Algebra ->  Parallelograms -> SOLUTION: Hi, I've been stuck on this problem for a long time now, and now I'm seeking for help to solve it. Assuming ABCD is a parallelogram, find x and y if: AB= 2x, BC= 3y+8, CD= 7x      Log On


   

Question 590826: Hi, I've been stuck on this problem for a long time now, and now I'm seeking for help to solve it.
Assuming ABCD is a parallelogram, find x and y if:
AB= 2x, BC= 3y+8, CD= 7x-25, AD= 5y-10
I only know how to solve these types of equations, as long as the perimeter is included. But since it isn't in this case, I'm really stumped.
Thanks for your help!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: With ANY parallelogram, the opposite sides are equal.

So this means that AB = CD and BC = AD

Which further means that 2x = 7x - 25 and 3y+8 = 5y-10