Other than serving as the second in command to the President, the Vice President has two main duties. He/She has the role of Presiding over the Senate and handling any ties during voting in the Senate by making the deciding vote. The other main responsibility of the Vice President it take over the Presidency in the case of an untimely death of the president and/or impeachment.
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The federal system divides power among a central government and smaller political units like states, while the unitary system has a central government that is supreme and its power is undivided.