The tech is right. Your 10 yr old model cannot run any of today’s gpu’s.  You also should not have installed windows 10 on the vista model. It costs $100 to activate windows 10. That could have gone towards a new computer.

I did not activate Windows 10. It is installed on a new solid state drive.

These are not "today's GPUs." What is the limitation keeping the computer from using either of these cards?

The GTX 570 was released in 2010, just two years years after the purchase of the Inspiron 518.

The GT 630 was released in 2012, just four years after the purchase of the Inspiron 518.

 Also I would like to say thank you for your response. I know this is a specific question. Any help is appreciated. 

Aside from not appearing in Device Manager, is the card working?

What's the recommended power supply rating for this new card, and what is the rating of the power supply that's installed in the PC?

What version of PCI-e does this card support and is that compatible with whatever version of PCI-e the motherboard supports?

Did you install the driver for the new video card? And is that driver compatible with Win 10?

If you don't activate the new install of Win 10, you're going to start seeing a "watermark" that it's unactivated and you'll be limited in some of the things you can change to personalize the system, and in what updates you can get from Windows Update.

Is there a list of GPUs that ARE compatible with the motherboard?

The motherboard is a DG33M04. Printed just below this it says SE0709.

The CPU is an Intel Core 2 Quad CPU Q8200 2.33 GHz.

The card is working.

The computer has a 585 watt power supply

The PCI-e is version 1.0 - however I was under the impression that most video cards are backwards compatible

The drivers stop installing when the card is not detected. Very strange. 

This is a really old PC that Dell didn't support beyond Vista so the 2 GPUs that were supported under Vista probably won't work with Win 10: They were AMD Radeon HD3450 and  AMD Radeon HD 3650.

New video cards may not be backward compatible all the way back to PCI-e 1.0. You'd have to check with EVGA, but I think you already know the answer...

PCI-E 1.0 is NOT FORWARD OR BACKWARD COMPATIBLE.

This is the reason why PCI-E 2.1 and 3.0 and up cards DO NOT WORK AT ALL in older PCI-E 1.0 systems like the Precision 490 and 690 etc.

PCI-E 2.1 and 3.0 cards are faster bus speed and require MORE POWER than the 1.0 or 2.0 bus allows.

The result is usually not working at all OR plugged into the bus and being invisible to the system.

The same issues occur with conventional PCI aka 5v cards are not UNIVERSAL PCI 2.2 or greater.

That means that although Conventional PCI 1.0 and 2.0 cards fit into the slot they do not work.

Good lawd! Some of the advice here is so off.

Your PC is just fine for running any modern video card - much more modern than the GTX 570 you're trying to run. I am typing this on an Inspiron 518 with an AMD RX 560 card (the latest generation) and I've never had a problem with any of the video cards I've used with it in the last over nine years I've owned it!

The only thing you need to be concerned about is power supply size. Yours - as others have said - is a 300 watt supply, which is fine for most purposes. May I make a suggestion? Buy something like this if you want an Nvidia card: https://www.amazon.com/Gigabyte-GV-N1030OC-2GI-Nvidia-GeForce-Graphics/dp/B07646VQ6T/ref=sr_1_1?ie=UTF8&qid=1535848581&sr=8-1&keywords=gtx+1030+4gb&dpID=51G3%252BUnZlPL&preST=_SX300_QL70_&dpsrc=srch and you'll be fine with most games you want to run. Just pop it in the PCIE x16 slot and you'll be fine.