Let x be the number of small cars rented and y be the number of large cars rented.
The first equation represents the total number of cars rented:
x + y = total number of cars
The second equation represents the total number of people that can be accommodated by the rented cars:
5x + 7y = 46 people
Since the students rented 2 more small cars than large cars, we can express this as another equation:
x = y + 2
Therefore, the system of equations is:
1. x + y = total number of cars
2. 5x + 7y = 46 people
3. x = y + 2
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. The students rented 2 more small cars than large cars, which altogether can hold 46 people. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system..
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