The point of checks and balances was to make sure no one branch would be able to control too much power, and it created a separation of powers. Here are some examples of how the different branches work together:
The legislative branch makes laws, but the President in the executive branch can veto those laws with a Presidential Veto.
The legislative branch makes laws, but the judicial branch can declare those laws unconstitutional.
Nine states need to approve a law before it could be passed. The reason why is because of wanting to protect the individual states power, and the fear of a strong central government.