exam Maths Puzzle Numerical Ability

Jan invested 1200 dollars to a certain simple intrest rate and 2200 dollars at a rate of 3 percent higher. Her annual earning was 253 dollars. Find the two intrest rates if she earned 121 dollars more on the higher than on the smaller.

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I know I am making this harder than it is! Would you please help me with how to work this problem. Thank you very much!

Express your answer in simplest form:
12 over 3x-2, + 3 over 2x
Use the Gauss-Jordan method to solve each system of equations.
3x-6y+3z=11
2x+y-z=2
5x-5y+2z=6