my gpu will detect one display but not another

Hey guy im having a really odd problem. Well i guess not to odd i might know what it's but im not positive. So i have my pc running off of a dvi cable which reades no problems but i have a hdmi cable plugged into my flat screen works just fine. However i just got a new tv, 3d, ethernet, and even accepts wifi. My only problem is when i plug my computer into it, it says no second display detected
Im running
Amd fx 6350 be
Rx 560 4gb oc'd edition
Asus m5a97 le r2.0
750w psu
New tv i'll add leter not home to look at
 
Post is a bit confusing, you said you have your PC running off a DVI cable, do you mean a monitor? And HDMI into my flat screen, that is another monitor or TV? This new TV you got are you trying to set it up as a third device or replacing one of the other screens? Did you switch the TV inputs to the right port number? There may be a PC input option on the TV settings.