SOLUTION: If you invest $7200 in two accounts paying 8% and 9% annual interest and at the end of the year the accounts earn the same amount of interest, how much was invested at each rate?

Question 262326: If you invest $7200 in two accounts paying 8% and 9% annual interest and at the end of the year the accounts earn the same amount of interest, how much was invested at each rate?
I have tried and tried to write this out, but can't come up with the answer aside from a guess and check method, which isn't acceptable. I must show my work.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
so what did you try and what did you guess and check?
.08x=.09(7200-x)

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