Eliminating poverty means to be able to supply every human being with the goods to fullfill their basic needs. Such as air, water, food(nutrition), warmth/shelter, medicine, sleep and hygiene.
Besides that we also need light(sun), a stable-enough environment, clothes, social contact, ressources to face future problems.
In the current money-based economy the definition of poverty is mostly based on the costs for an everyday life in a specific region.
Thus we can either get a system running that all people have 'enough' money, or directly supply them with the goods.