We laid down cardboard and grocery bags to kill the weeds and retain nutrients and minerals (large, not small pieces so there are no gaps). We wet the cardboard, and then filled in a layer on top from soil found on the property (behind the fence in a wooded area for us). We watered again 1" deep.
This is one of many techniques you can use to battle the weeds without exerting much effort or time, maintaining the health of your soil while reusing materials that would otherwise be sent into the waste stream. The results have been better than we expected, and we spent only several hours in the height of summer hand pulling weeds from our main beds.
This is the same two beds, merged into one, with healthy high yielding plants that fed us throughout the season (and continue - frost sweetened our kale and chard!)
Have you tried sheet mulching? Let us know how it has worked for you in the comments.