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# Car rental: Find and solve a system of equations

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A major city car rental agency has a total of 2200 cars rented out of 3 locations: Metro Airport (m), Downtown Airport (d), and at smaller City Airport (c). Weekly rental and return patterns are in a table. How many cars should be at each location so that the same number of cars will be there at the end of the week?

https://brainmass.com/math/linear-algebra/car-rental-find-solve-system-equations-432683

## SOLUTION This solution is FREE courtesy of BrainMass!

The solution sets up a system of three equations and follows through the correct augmented matrix, at which point Gauss-Jordan or other steps can be take to solve the problem. Assuming one of these methods are taken, or a calculator used, the final reduced row echelon form of the augmented matrix and final solution is given.

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