Final answer:
The system of equations that represents the given situation is d + y = 54 and d = y - 10.
Step-by-step explanation:
Let's assume the number of students in the yearbook club is represented by the variable 'y' and the number of students in the drama club is represented by the variable 'd'.
According to the given information, the total number of students in the drama club and yearbook club combined is 54. We can express this as the equation:
d + y = 54
The drama club has 10 less students than the yearbook club. We can represent this as:
d = y - 10
So, the system of equations that represents this situation is:
d + y = 54
d = y - 10