Aman invests $17,000 in two accounts. one account earns 5% interest per year, and the other earns 6.5%. if the total interest after one year is $970,how much did he invest at each rate?

Let x = the amount invested a 5% and 17,000 - x = the amount invested at 6.5%. Now you can write the equation: 
0.05x + [0.065 (17,000 - x)] = 970 
Solve for x to get the amount invested at 5% and 17,000 - x will = the amount invested at 6.5% 
x = 9,000 
17,000 - 9,000 = 8,000