Organ systems work together to maintain homeostasis because to control body functions and the interaction between the respiratory system and the circulatory system is an example of interaction between organs. Since organs and their functions are dependent on each other the failure in the function of one organ affects the functioning of human body.
Explanation:
In multi cellular organisms like human, hormones are helpful in the communication within the human body and this is facilitated through Endocrine. The cells that are similar are grouped to form tissues and they are used to perform some unique task. These tissues that are grouped into organs to perform some particular function. These group of organs that performs some particular functions joins to form a distinct organ system. This type of inter relation between the tissues, organs and the organ system make a failure in a human body when one gets affected.
For example we can consider the circulatory and respiratory system. The respiratory system plays a major role in giving out the carbon dioxide and getting new air containing oxygen into human body. The circulatory systems plays a major role in getting oxygen in lungs and make it to get into the tissues. Thus, if both the systems works together there will be a successful exchange of oxygen and carbon dioxide between the environment and cells takes place.