What are these weeds, what kills them?

Not sure what it is, but all you can do is to paint the leaves with Roundup. Add a little liquid soap to the Roundup solution. It makes it stick to the leaves better,so it does not drip onto other plants. As for vioelts, you tell me. I have just painstakingly removed a 2 gallon bucket of seedlings from one of our alpine growing areas and even then I reckon I missed a lot. I use a small flame gun (Butane powered blowtorch) on them as this fries the seeds, but you cannot do this too close to other plants.

Glechoma hederacea - also known as Creeping Charlie, Ground Ivy, or Gill-over-the-ground. I find it just as easy to pull it out. My neighbour uses a Borax & water solution on her lawn which takes quite a while and I am not sure of residual effects. I think something like 'Weed & Feed' for the lawn would be more reliable, and should kill the violets too (Eek! I love them in the lawn! )
I dig up most unwanted weeds by hand - early spring has the best effect - it is a repetative process but best for the health of other plants & the wildlife in the yard. Ontario is passing a 'no - pesticides' law, so methinks I will soon have lots of company out there on our hands & knees, Lol!

Ugh - how stupid do I feel? I saw some of this in a friends garden and saw the pretty lilac flowers and how the bees seemed to love it and asked if I could have some for my garden. NOW IT'S EVERYWHERE! Sorry, no advice to offer, just sympathy!

Alan Titmarsh recons we don' t have weeds, only plants that are in the wrong place, Richard Mabey writer of the book Food for Free, says if it's eatable eat it, e.g. dandelions - nettles - etc. And there's always a good thick dose of mulch.