I dont see your system specs or a snapshot of system. Knowing model number and make of computer works as well instead of a snapshot if you know that.
So what is the system specs of computer info of the system that your thinking about upgrading?
Your office computer the Optiplex with the Core i5 is able to handle games because the Integrated Intel HD Graphics are actually not that bad. The Intel HD Graphics can make games playable, but depending on the game they will either play well or play ok, or crawl with low frame rate. The error message your getting is that the game tests the hardware before it runs and due to GPU being to old it will abort and give up this message. The good thing is that most desktops have a PCI Express slot available to add a video card. The video card to add depends on if its a small form factor type of computer or small tower where card dimensions might be an issue was well as what you have for a power supply and what type of card you want to add to just be able to play the games or do you want the higher end performance such as from a nVidia GTX GPU card where you might have to also upgrade the power supply to handle the heavier load of the system. Lastly some games are GPU intensive, but happy with 1 or 2 cores of a CPU.
Are there any other games other than Tekken 7 that dont play that you would like to play?
As well as any games your considering buying in the future to where we need to make sure you dont under upgrade your system and end up having to yet again upgrade further and waste money?
Also what is your budget and we can suggest hardware if you like?