Aug 1, 2012 -- 1:30AM, Reptiletc wrote:

If a monster with first strike were to be blocked by another monster with first strike, would the battle play out like normal?

In effect, yes. They would both still do their damage to each other simultaneously as in normal combat. 

If one player obtains their 10th poison counter at the same time as their opponent loses their last life point, is it a draw? (this actually happend btw)

Yes, in the same way as if both players got 10 poison counters, or both players were reduced to zero life, at exactly the same time. The next time a player would get priority, the game will check state based effects and both players will lose at the same time, causing a draw.

How do you destroy an artifact with indestructable?

You can't "destroy" it (indestructible means it cannot be destroyed) but there are plenty of other ways to remove an indestructible artifact. Return it to their hand (using Boomerang or similar). Exile it (using Erase or similar). Make it get shuffled into their library ( Chaos Warp or similar). Make them sacrifice it ( Razia's Purification ). In the case of an indestructible artifact creature, you can also reduce its toughness to zero ( Mutilate ). The only things indestructibility stops are destruction from lethal damage, and things that expressly say "destroy".