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Solve the following word problem. Money is invested at two rates of interest. One rate is 8 % 8 % and the other is 2

Solve the following word problem.
Money is invested at two rates of interest. One rate is 8%8% and the other is 2%2%. If there is $900$900 more invested at 8%8% than at 2%2%, find the amount invested at each rate if the total annual interest received is $430$430. Let x=x= amount invested at 8%8% and y=y= amount invested at 2%2%. Then the system that models the problem is {x=y+9000.08x+0.02y=430{x=y+9000.08x+0.02y=430. Solve the system by using the method of addition.

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