Final answer:
Body systems not involved in nutrient breakdown or utilization include the integumentary and skeletal systems, as they serve protective and supportive roles rather than digestive functions.
Step-by-step explanation:
The body systems that would NOT be involved in the breakdown and utilization of nutrients include systems like the integumentary system, which consists of the skin, hair, and nails. The integumentary system acts as a protective barrier for the body but does not have a direct role in nutrient digestion or absorption. Similarly, the skeletal system, while providing structure and support for the body, does not participate in the digestive or metabolic processes related to nutrient utilization.