*without getting a new motherboard: *

CPU

Upgrade to A-10 Series: $150.00

http://www.newegg.com/Product/Product.aspx?Item=N82E16819113359

This will be a ton better than what you have. However, it's worth mentioning, that this CPU is 1 tier slower than any modern intel i3 series CPU - and those run between 30-50 dollars cheaper than this, but you will need a new motherboard.

If you want a better AMD CPU than this, you'll have to upgrade your motherboard anyways, and with the dominance that intel has had in the last 5 years in CPU's, you are way better off going with a cheap i3 haswell, or even better, an i5 which is a monster for gaming.

i5 intel CPU. $180.00

http://www.newegg.com/Product/Product.aspx?Item=N82E16819117302&nm_mc=AFC-C8Junction&cm_mmc=AFC-C8Junction-_-na-_-na-_-na&cm_sp=&AID=10446076&PID=6146996&SID=i6wj8kelid0035wt00053

Here's a very cheap, yet excellent motherboard that would go with the i5. $70.00

http://www.newegg.com/Product/Product.aspx?Item=N82E16813157547

GPU

Lower end upgrades:

$120 r7 260

http://www.amazon.com/Gigabyte-GDDR5-1GB-2xDVI-Graphics-GV-R726XOC-1GD/dp/B00H707TI2/?&tag=bom-tomshardware-20&ascsubtag=[site|thaus[cat|[art|[pid|B00H707TI2[tid|14255830839495497[bbc|LEPRIX

$140 Nvidia 750 ti

http://www.amazon.com/Zotac-NVIDIA-GeForce-PCI-Express-ZT-70601-10M/dp/B00IFZ547Q/?&tag=bom-tomshardware-20&ascsubtag=[site|thaus[cat|[art|[pid|B00IFZ547Q[tid|14255830864215193[bbc|LEPRIX

With either one of these, you could probably mod skyrim at 1020x600 to 1400x800 resolutions with 512k and 1k textures on low/medium settings.

Midrange Upgrades

ATI r9 280x $250.00

http://www.amazon.com/XFX-RADEON-1000MHz-Graphics-R9-280X-TDFD/dp/B00FSC5N66?SubscriptionId=AKIAIEF7KZG4SSIJ7QQA&tag=toms_shopping_rev-20&linkCode=xm2&camp=2025&creative=165953&creativeASIN=B00FSC5N66&ascsubtag=[site|thaus[cat|[art|[pid|B00FSC5N66[tid|14255832819923788[bbc|LEPRIX

With this card (and a cpu upgrade) you could mod up skyrim with an ENB at 1440 x 800 to 1920 x 1080 resolutions, on middle to high settings, with 1k textures, potentially some 2k textures.

upper range upgrades

Nvidia 970 $340.00

Ati r9 290x $340.00

http://www.amazon.com/Zotac-GeForce-DisplayPort-Graphics-ZT-90101-10P/dp/B00NNXVPS2/?&tag=bom-tomshardware-20&ascsubtag=[site|thaus[cat|[art|[pid|B00NNXVPS2[tid|1425583462529244[bbc|LEPRIX

http://www.amazon.com/gp/product/B00HJOXUKC/?tag=bom_tomshardware-20&ascsubtag=[site|thaus[cat|[art|[pid|B00HJOXUKC[tid|14255834657447771[bbc|LEPRIX

With either of these, you can run and mod skyrim at 1920 x1080 and sometimes above resolutions, with enb and 2k and 4k textures, at ultra settings (you of course need a cpu upgrade, probably requiring a i5 intel cpu).