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Solve the following word problem. Money is invested at two rates of interest. One rate is 3 % 3 % and the other is 2

Solve the following word problem.
Money is invested at two rates of interest. One rate is 3%3% and the other is 2%2%. If there is $1200$1200 more invested at 3%3% than at 2%2%, find the amount invested at each rate if the total annual interest received is $550$550. Let x=x= amount invested at 3%3% and y=y= amount invested at 2%2%. Then the system that models the problem is {x=y+12000.03x+0.02y=550{x=y+12000.03x+0.02y=550. Solve the system by using the method of addition.

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