ABCD is a parallelogram. If AB = 2x - y, CD = 7, BC = x + y , AD = 2 find x and y.

Question

brycehale · Answer

I have gotten x = 9 and y = -7

brycehale · Answer

But when I checked it is was wrong

anonymous · Answer

In a parallelogram, opposite sides are equal.

So AB and CD are equal, AD and BC are equal.

2x - y = 7

x + y = 2

Solving the equation by adding them you get

3x = 9 or x = 3

And replacing x value in one of the equations you get

3 + y = 2

or y = -1

Is x = 3 and y = -1 correct?

brycehale · Answer

It was! Thanks! I was over-calulating!

anonymous · Answer

No problem (: haha good luck buddy

brycehale · Answer

Thanks. And I was using the substitution method instead of the addition method as you used.