Is a GeForce GTX 760 Compatible with My PC?

DecayingReverie

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Sep 21, 2014
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Sorry if I appear to be a bit clueless as far as PC's go as I don't know how to build them. First off, here's my computers specs:

OS: Windows 7 Professional 64-bit
System Manufacturer: Alienware
System Model: Aurora-R4 (From what I read, this could be the motherboard?)
BIOS Version/Date: Alienware A07, 10/26/2012
Processor: Intel(R) Core(TM) i7-3930K CPU @ 3.20GHz (12 CPUs), ~3.2 GHz
Memory: 32,768MB DDR3 RAM (I don't know the manufacturer as I didn't build the PC)
(Current) Graphics Card: AMD Radeon HD 7900 Series
Chip Type: AMD Radeon Graphics Processor (0x679A)
Approx. Total Memory: 4095MB
Monitor: Generic PnP Monitor
Hard Drive: 3TB Hard Drive (This doesn't have much effect on my question)

I do not know what kind of power supply I have. I understand that you need to open up the case to find out and I don't want to destroy anything by doing that. My current graphics card has made it nearly impossible for me to play some newer high fidelity games (such as Metro: Last Light). I kept tanking to around 15fps for most of what I've played and found it unplayable. I want to purchase two of these. My questions are:
1) Is the GeForce GTX760 graphics card more powerful than my AMD Radeon HD 7900 Series card?
2) Is this SLI connector sufficient to put two of them together?
3) Is my motherboard compatible with the 760's?
4) This is harder to answer since I don't know what my power supply is. Will these cards run with my current power supply?

I can supply pictures of my rig if anyone needs them.