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Solve by using the Gauss-Jordan method

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Solve by using the Gauss-Jordan method. No other methods will be graded. Rose is opening her own auto repair business, but needs to borrow $120,000 to buy a car lift and Snap-on tools. She could only get simple interest loans at 4%, 5.5%, and 7%. Twice the amount Rose has in the 7% account is $10,000 less than three times the amount in the 5.5% account. After one year, the interest accrued was $7,050. How much did Rose have to borrow at each rate?