since the 2 ines of the parallelogram represent the diagonals
the diagonals of a parallelogram will always bisect each other
thismeans the point formed in the middle will always be the midpoint of each diagonal.
then
[tex]2x-2=x+2[/tex][tex]2x-x=2+2[/tex][tex]x=4[/tex]
and
[tex]5y-8=y+24[/tex][tex]5y-y=24+8[/tex][tex]4y=32[/tex][tex]y=\frac{32}{4}[/tex][tex]y=8[/tex]
then
x=4
y=8
