If you're looking for a solution for both equations and had a choice between the 3 ways of solving it, I would choose substitution for this problem. So..
2x-5=3x-10
Move like terms to their own sides.
Take 2x away from both sides, and add 10 to both sides. That should leave you with
5=x
Now that you have the x, plug it into the equation that works best for you to solve.
That should be y=2(5)-5
y=10-5
y=5
(5,5) is your solution.