Verified answer

Granted your parallelogram is labled:

D________E

..... F___________G

Consider that the H comes from the center. like this (Ignore the periods)

D__________E

.............H...........

.....F___________G

kind of like if you draw a line going from D to G and a line going from E to F, the place that they intersect at is H.

Anyways, DH means the section of the line going from D to H, which you said was x+3. Now since DH is only half the line that runs D to G, then HG is equal to DH. You said HG (or GH) is 4x-5.

so 4x-5=x+3.

The same goes for FH (at 3y) and EH (at 2y+3)

so 3y=2y+3

Now its simple math.

First lets do 4x-5=x+3

remember, to undo something, you have to do the opposite. (Additions opposite is subtraction, division opposite is multiplication)

To get -5 and +3 together, you undo them. to undo -5 you would +5.

4x-5=x+3

....+5...+5

_________

4x=x+8

then subtract the x (which is always 1 if there is no number already listed)

4x=x+8

-1x..-1x

_________

3x=8

then divide to get x alone (since 3x is saying 3 times x, and division is the opposite of multiplication)

3x=8

/8..../8

3/8=x

then do the same for 3y=2y+3 and you will get the value for y

hope this helps :)