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Respiratory is all about our  breathing,that is responsible for exchanging healthy gas from carbon dioxide to oxygen this oxygen helps blood to make it a healthy one,this process can be seen when red blood cells goes to our lungs
The Respitory system gets oxygen into the Circulatory system that takes the Oxygen, through the blood stream, to other parts of the body

The respiratory system both induces oxygen to come into our circulatory system and eliminate gaseous wastes that come from our circulatory system.