The architects of the economic system in the United States don't want to eliminate poverty - it's kept around as a threat, something to point to - see, grunts, that's where you'll end up if you're not an obedient drone. This is also a main reason why there's no reliable public health care system, instead it's tied to employment. The general concept is "discipline of the labor force."
There are myriad social safety nets out there for people if they'd only take advantage of them. Yet there are people roaming the streets and picking out of trash cans. Why? Because they've lost their families, they've lost their minds, they struggle with addictions and mental health, so they don't really fit in anywhere.
So you really only manage to be poor by becoming an utter social outcast first. If you can hold down the fort and navigate a bureaucracy, you can get on SNAP, Section 8, Voc. Rehab. and all sorts of programs that will get you back on your feet, courtesy of Uncle Sam, and that's not even counting the faith-based charities you could avail yourself of.