Final answer:
The change in internal energy of a system when heat transfer and work are involved can be calculated using the First Law of Thermodynamics.
Step-by-step explanation:
The change in internal energy of a system can be calculated using the First Law of Thermodynamics, which states that the change in internal energy (ΔU) is equal to the heat transfer (Q) minus the work done (W) on the system.
In this case, the system receives 150.00 J of heat transfer and has 159.00 J of work done on it. Therefore, the change in internal energy is ΔU = Q - W = 150.00 J - 159.00 J = -9.00 J.