Which system of the body is known as the breathing system?

The the respiratory system or "breathing system" has many different functions. The main function that the body relies on is to supply the body and organs with Oxygen with Inhalation and Exhalation.

Two other things we rely on the respiratory system for is vocalization or speech, and coughing. To be able to speak air must pass from the lungs over the vocal cords. Coughing allows the body to expel foreign objects like virus' keeping the body safe and healthy.