|The motherboard - can zoom in on the picture:|
Printed on the mboard : MB DA061/087L - it's also used in some Acer models.
Here's some examples of PCI-E X16 video cards that work in a Shuttle XPC system, which also has an oddball tiny power supply, with a 250 watt capacity PS
Click on the Support List tab, then the Graphics card Support tab
However, to make sure they'll work with a 220 watt power supply...
Your power supply must have at least the minimum capacity required to support a system with the graphics card you are using installed, or the max graphics card you might install in the future.
(Onboard video - video built into the mboard - IS NOT A CARD ! )
If that info is not in the ad for the video card, you can go to the video card maker's web site and look up the specs for the model - often under system requirements - the minimum PS wattage, and, more important, the minimum amperage the PS must supply at 12v is stated. If you don't find that, any card with the same video chipset including any letters after the model number has very similar minimum PS requirements. Some power supplies have two or more +12v ratings - in that case, add those ratings to determine the total +12v current capacity, OR, if the max total amperage or watts at +12 v is stated, go by that instead (max watts at +12 v divided by 12 = the max amperage at 12 v).