A few ways to approach this..
1) Deep Mulch
Ruth Stout, Back to Eden, or Jean Pain cover all with thick mulch creating a clean slate. I have done this and took about 18 inches of
wood chips to gain the upper hand on what was already growing. I then dug out holes in that and put in
compost and grew.
2) Tarps / plastic / sheets of tin. You can solarize the area to kill off what an you don't want there. Tarps are a great way to kill off what you don't want.
3) Till then do the above. Some first till then do steps 1,2. Others Cover with a tarp kill off, then water, allow weeds to grow then kill off again to gain the upper hand. Often on stubborn weeds I have had to dig out the
roots to have full control.