How did the south atlantic system tie the entire economy of british colonies together?

The South Atlantic system tied the entire economy of British colonies in a circular system. The British sold guns to Africans in exchange for slaves. The slaves were sold to the colonies and worked in the  sugar and tobacco plantations that brought wealth to entire British economy

no every country is held to the same degree as others just some member countries such as the usa and germany are more economically sound so the need to show there support to all others