I've had snakes and frogs for as long as I can remember, long before I was fifteen. It can definitely be done,you just have to understand the responsibility that goes along with caring for something that is utterly dependent on you.
Here's my advice: Wait. Not long, just a couple months. In that time, do everything you can to learn about these animals, and show your parents that you are ready to handle the responsibility. If they are still against it, find a store or a breeder near you and show them what an adult is like. During this time, also think really hard on your decision. Be open with your parents and let them know that there can and will be unexpected costs, and make sure they are willing to help you out. Since you still live with your parents, and don't drive, some of the responsibility will be theirs as well, so make sure they are okay with this before jumping in.
Good luck!
Edit: I think the fact that you're on here asking questions and showing interest is at least some credit to your responsibility. Just remember, you can never stop learning new things about these animals!
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