I was wondering how well my AMD quad core A10-5700 accelerated processor would run Skyrim?

I cannot complain about mine but the processor is hardly the only thing you'll need to decently run Skyrim.

well, what graphic card you are using for ????

Only your processor tells me nothing....

For comparison a AMD A10 5700 CPU with a AMD 7660D Graphic card chip (on the die) at (1920x1080) with anti-aliasing off and medium shadow details

you will get a minimum frame-rate: 26 fps, Average frame-rate: 32 fps, and a maximum frame-rate at: 54 fps.

(all data are approximate because they are taken on this Main board: Gigabyte F2A75M-HD2, with that HDD: Hitachi 5K750 500GB 2.5"

and with that memory: 2x4GB GSKILL Ares (DDR3-1866).

So you can figure out yourself how worse or better you system will be, after the above....