Question

Find the values of the variables for which ABCD must be a parallelogram.
http://media.education2020.com/EVresources/647-06-03-00-00_files/i0230000.jpg

Answer 1

first, solve for y
3y - 9 = 2y + 2

Answer 2

okay thnks :) so i add 3y to all of them?

Answer 3

no, subtract by 2y from both sides will giving us

3y - 9 = 2y + 2
3y - 9 -2y = 2y + 2 - 2y
y - 9 = 2

then add by 9 :
y - 9 + 9 = 2 + 9
y = 11

Answer 4

thanks! :) can you show my how to find x too?

Answer 5

now, how to solve x
look the diagram again, 3x + 6 = y + 4
put y = 11,
3x + 6 = 11+4
3x + 6 = 15

subtrac by 6 from both sides
3x+6-6 = 15-6
3x = 9

then divide by 3,
3x/3 = 9/3
x = 3

Answer 6

omg. your really good @ this! thank you. i got exactly how you did x

Answer 7

buy the y im still confused on. im trying to put it all together how you did that.

Answer 8

i think its confusing me because its not the same thing you did finding x. but thanks i got it now!

Answer 9

you're welcome ;)

Answer 10

oh wait. i do have a question about finding y. where did you get the -2y after 3y-9-2y+2?