Okay kiddo, you know how sometimes you have two parents – like a mom and a dad – and they both have different jobs and responsibilities when it comes to taking care of you? Well, a dual system of government is kind of like that.
In some countries, there are two levels of government – one at the national level, and one at the local level. The national government is in charge of big things like making laws for the whole country, while the local government is in charge of things that are more specific to your city or town, like building playgrounds and fixing roads.
Sometimes, the national government and the local government have different ideas about what's best for the people they're serving. For example, the national government might want to make a law that affects everyone in the country, but the local government might not think that's a good idea because it might not work for their particular area.
Having a dual system of government allows for each level of government to have its own responsibilities and make decisions that are best for the people they serve. It's kind of like how you have different teachers for different subjects at school – your math teacher might be really good at math, but your art teacher might be really good at art.
So, in summary, a dual system of government means there are two levels of government with different jobs and responsibilities, kind of like how your parents have different jobs when it comes to taking care of you. It allows for more localized decision making and can sometimes result in different ideas between the national and local governments.