How to understand the DPS system :)
With my warrior I use a sword in my main hand and an axe in my offhand.
Skills 1-3 only swing my sword so I only do sword dmg. Skill 4 swings both weapons and so it deals combined damage. There may be some more calculations in there preventing it being simply sword+axe damage but it is still a higher damage number than a two-handed weapon on its own.
I know my reply here is not definitive but hopefully it helps to some degree.
AFAIK the offhand weapon determines the offhand skill damages while the main hand weapon determine the main hand skill damages.
You can also try it out in PvP lobby. Just get a steady main/offhand and try it with normal weapon/offhand combination. Skills 1-2-3 and 4-5 have different damage outputs (steady weapons have very little damage, so it’s really noticable).
Number 1 skill ele with staff = 1 second loading time
Number 1 skill ele with dagger = 0.5 seconds loading time
in other words, the amount of damage/attack might be less, but you can make more attackes/second
Arise, opressed of Tyria!