Question

ABCD is a parallelogram. Find x and y using the following information: AB=4 (x+3) BC=6-(2+y) DC=12 (x-5) AD=3y

Answer 1

Drawing a picture helps a lot


Since it's a parallelogram, you know opposite sides are going to be the same length, so:
(1) AB = CD
and
(2) BC = AD

For (1), plug in the values of AB and CD, so
AB = CD
==>
4 (x+3) = 12 (x-5)

solve for x, giving you
==>
x = 9

For (2), plug in the values of BC and AD
BC = AD
==>
6 - (2+y) = 3y

solve for y, giving you
==>
y = 1