Solve the given systems of equations by determinants. All numbers are accurate to at least two significant digits.

An airplane begins a flight with a total of 36.0 gal of fuel stored in two separate wing tanks. During the flight, 25.0% of the fuel in one tank is used, and in the other tank 37.5% of the fuel is used. If the total fuel used is 11.2 gal, the amounts x and y used from each tank can be found by solving the system of equations

Find x and y.

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x + y = 36.0 0.250x + 0.375y = 11.2