I have an AMD 580 and an AMD R9 Fury X can they both run on my computer to help solve problems here? Is there something special I have to do?

jason

BOINC can use both of them, but not outright. You'll have to add the use_all_gpus switch to the cc_config.xml file.
To do so, go to your BOINC data directory (for default directories, look here), and check if you don't already have a file called cc_config.xml (or cc_config with extension hidden).
If you do, open it with Notepad or another ASCII text editor, scroll all the way down until you see the line

<use_all_gpus>0</use_all_gpus>

and change the 0 (zero) to one (1), then save the file.

<use_all_gpus>1</use_all_gpus>

Next make sure you installed drivers for the GPUs from the AMD website. Drivers installed by Windows for instance lack the needed OpenCL component.
With that done, exit & restart BOINC, or reboot the computer.

If you don't have a cc_config.xml file, make one. Open Notepad or another ASCII text editor.
In it add:

<cc_config>
<log_flags>
</log_flags>
<options>
<use_all_gpus>1</use_all_gpus>
</options>
</cc_config>

Save this file as cc_config.xml into your BOINC Data directory. Save in ANSI format, as an All Types - this prevents an extra .txt extension to be added.

If you do have a cc_config.xml file but not the use_all_gpus line, then add that to the options section and save the file.

<use_all_gpus>1</use_all_gpus>

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Thank you for the great information on how to do it. I'm tempted to give it a try . Once they are running how can I tell if they are both being used?

Jason

Once they are running how can I tell if they are both being used?

I don't have any suitable gpu's but my guess would be that you see tasks that are running on each.