I had a typo. If you have already done the problem, then disregard, but if not, the equation for the second demand curve should have read:
Q2 = 10 - 0.05P2.
You can see I got the decimal in the wrong place on the assignment.
Again, if you have already done the problem, don't worry about it, this was my mistake, but if you have not done it yet, this correction could make the problem a little more straightforward, and I daresay, interesting.