The only fail safe way is to dig them out and under no circumstances let them seed, whatever they are. I've yet to find any selective weedkiller which actually works as well as persistence with a fork.
The most inexpensive weedkiller is one that actually works, applied in the correct way. You need to tell us what you're trying to kill and what you have tried so far (and how you applied it).
"What is hateful to you, do not do to your neighbour".
In my experience expensive weed killers are false economy anyways. When I became an adult and purchased our first and current home.. I tried a few of the lesser known brands with similar active ingredients.. weeds might crisp a bit, but they were soon back and growing just as strong. Now I only buy R@%ndup concentrate and mix it exact to the directions. Cheaper than premixed, and does the job with one application. The more you have to repeat with the cheap stuff the more you and the environment is exposed to nasty chemicals.
Once OP comes back with further details, then we can give more specific advice for those particular weeds. A hoe or hand pulling doesn’t take care of the nasty taproot weeds in my crushed rock gravel over membrane area. There is a time and place for each process.
Goodness me! I was envisaging a large bed with weeds entangled among garden worthy plants. With a garden fork you could have that area sorted in 30 minutes. If you don’t have a fork or have a disability then a bottle of glyphosphate from any large supermarket will cost about £5 and will have that bed sorted. Apply it now and you should see results within three weeks. You might need a second application but a bottle will be enough for dozens and dozens of treatments.
A small spray bottle of Resolva will see those off in a couple of days. It's easily the most effective weedkiller as it works quickly. Weeds which appear when there's a physical barrier between them and the soil below, are largely ones which seed in, so a quick once over with a hoe will also keep them at bay very easily. Dandelions, which you have there, have deep roots though, so the weedkiller will keep them at bay more easily.
It's a place where beautiful isn't enough of a word....
I live in west central Scotland - not where that photo is...
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Gardening in Central Norfolk on improved gritty moraine over chalk ... free-draining.
Gardening in Central Norfolk on improved gritty moraine over chalk ... free-draining.
but we’ve still not got the information we need in order to be able to help ...
Gardening in Central Norfolk on improved gritty moraine over chalk ... free-draining.
It's easily the most effective weedkiller as it works quickly.
Weeds which appear when there's a physical barrier between them and the soil below, are largely ones which seed in, so a quick once over with a hoe will also keep them at bay very easily.
Dandelions, which you have there, have deep roots though, so the weedkiller will keep them at bay more easily.
I live in west central Scotland - not where that photo is...