Can I do 4k with HP ENVY 700-215xt - AMD Radeon r9 270x

[SNEVO]

Ok, I know this isn't the greatest setup, but a good budget setup!
I have a HP ENVY 700-215xt desktop with 8GB of ram, with a AMD Radeon r9 270x graphics card with 4GB vram. Also I have a ssd crucial mx200.
Can someone help me with the monitor route. Right now I have 2(two) HP 1080p monitors, they aren't gaming monitors. I do some gaming but also video production. That's why I want to lean towards a 4k monitor because it's like having 4(four) 1080p monitors.

1. Can this setup handle 4k?
(I know 4k won't be 60+ fps in gaming. But I know some 4k monitors can do higher fps in lower resolutions)
2. Is it worth going this route?
3. Should I stick to 2 or 3 really really good 1080p monitors.

Overall I need a mix that can be both gaming and video production.

Updated:072215
ok the more I read and figure out what I can do. Since I don't have all the money in the world, I have a budget to stick to. Now I'm leaning more towards selling my 270x and getting a 380. Reasons are, the price is down to around $200 and I can sell my 270x for $175, somewhere around there.

I don't want to buy outdated tech and also not to be the first with 4k. The 380 supports the AMD freesync and monitors with it along with high hz is a plus.
Overall I found myself going this route, getting the 380 and getting the Benq XL2730Z
http://gaming.benq.com/gaming-monitor/xl2730z

This setup I think will be amazing. Any thoughts?

 

[hang-the-9]

Why would you get a 4k monitor then run it on lower resolution? That's like spending 75k on a Corvette and never going over 55 with it.

The CPU you have also will determine how high you can run a game one, a fast Core i5 should do it.

A 380 should be able to handle 4K or 3 monitors but you'd have to turn down settings to play smoothly.

 

[Creme]

For gaming at 4K, unless you're happy with low-medium settings, a R9 390 or GTX 970 is pretty much required.

I'd stay with 2 1080p monitors. Use one for gaming, and two at once for video editing.

 

[SNEVO]

Thanks for your inputs. After researching more and making myself to stick to a budget.
I decided to get this one, http://www.bestbuy.com/site/benq-24-led-hd-monitor/9473101.p?id=1219418156116&skuId=9473101
Since I don't have the hardware, I'm going to stick to standard tech until the latest drops in price.