Solution: If the rent for each house in the first year is X yuan, then the rent for each house in the second year is (x+500) yuan.

96000/x= 102000/(x+500)

The solution is x=8000.

X=8000 is the solution of the listed equation.

x+500=8500

So the rent per room in the first year is 8000 yuan, and the rent per room in the second year is 8500 yuan.