This "dual system" of government present in the United States is called , which is a governance structure whereby the federal government and the state governments coexist through a shared power scheme. State laws may not conflict with federal laws, including the U. S. Constitution.

Federalism

Explanation:

The federalism is one of the type of government based system and it is also known as the dual political system. It is the combination of both the local and the state government and the power is specifically divided between these two types of government.

The importance of the federalism is that it provide the various types of principles and the controlling authority to the system for the purpose of managing all the democratic rules.

According to the given question, the Federalism is one of the type of political structure that helps in represent the dual government system in the United state constitutions.

Therefore, Federalism  is the correct answer.