Macbook 2010 13 inch keyboard not working untill after boot into os but no os installed
If you hold the Option key while booting does anything appear? If not you may have damaged the partition. Since your computer is a 2010 model it is not capable of using Internet Recovery. Your only option would be 1) Call Apple support and ask them to ship you an OS X install DVD (you will have to pay for it) or 2) if the install DVD fails you may have messed up your HDD and may need to buy a new one.

All in all, you will NEED to call Apple to buy an OS X Install DVD (unless you have it)