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Use the Gauss-Jordan method to solve the system of equations. x-y=5 y-z=-4 x+z=1 Select the correct choice below and fill in any answer boxes

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Use the Gauss-Jordan method to solve the system of equations. x-y=5 y-z=-4 x+z=1 Select the correct choice below and fill in any answer boxes within your choice. O A. There is one solution. The solution set is {(D)} (Simplify your answers.) B. There are infinitely many solutions. The solution set is {(z)}, where z is any real number. (Simplify your your answers. Type expressions using z as the variable.) O C. The system is inconsistent. The solution set is .

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