Question

how does the government eradicate poverty?

Answer 1

Poverty reduction occurs largely as a result of overall economic growth. ... Aid and government support in health, education, and infrastructure helps growth by increasing human and physical capital. Poverty alleviation also involves improving the living conditions of people who arealready poor.

Answer 2

Poverty reduction, or poverty alleviation, is a set of measures, both economic and humanitarian, that are intended to permanently lift people out of poverty.
Measures, like those promoted by Henry George in his economics classic Progress and Poverty, are those that raise, or are intended to raise, ways of enabling the poor to create wealth for themselves as a means of ending poverty forever. In modern times, various economists within the Georgism movement propose measures like the land value tax to enhance access to the natural world for all. Poverty occurs in both developing countriesand developed countries. While poverty is much more widespread in developing countries, both types of countries undertake poverty reduction measures.
Poverty has been historically accepted in some parts of the world as inevitable as non-industrialized economies produced very little while populations grew almost as fast, making wealth scarce.Geoffrey Parker wrote that

In Antwerp and Lyon, two of the largest cities in western Europe, by 1600 three-quarters of the total population were too poor to pay taxes, and therefore likely to need relief in times of crisis.

Poverty reduction occurs largely as a result of overall economic growth.Food shortageswere common before modern agricultural technology and in places that lack them today, such as nitrogen fertilizers, pesticides and irrigation methods.
The dawn of industrial revolution led to high economic growth, eliminating mass poverty in what is now considered the developed world.World GDP per person quintupled during the 20th century.In 1820, 75% of humanity lived on less than a dollar a day, while in 2001, only about 20% did.
Today, continued economic development is constrained by the lack of economic freedoms. Economic liberalization requires extending property rights to the poor, especially to land.Financial services, notably savings, can be made accessible to the poor through technology, such as mobile banking.Inefficient institutions, corruption, and political instability can also discourage investment. Aid and government support in health, education, and infrastructure helps growth by increasing human and physical capital.
Poverty alleviation also involves improving the living conditions of people who are already poor. Aid, particularly in the medical and scientific areas, is essential in providing better lives, such as the Green Revolution and the eradication of smallpox. Problems with today's development aid include the high proportion of tied aid, which mandates receiving nations to buy products, often more expensive, originating only from donor countries.