paralell lines have same slope
in form
y=mx+b
m=slope
for ax+by=c
slope=-a/b
find de slopes
I.
5y=2x-5
divide by 5
y=(2/5)x-1
slope is 2/5
II.
5y=3x+3
divide both side by 5
y=(3/5)x+3/5
slope is 3/5
III.
5y-3x=-1
-3x+5y=-1
slope=-(-3)/5=3/5
3/5=3/5
II and III are paralell
B is answer