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Use the Gauss-Jordan method to solve the following system of equations.x+y- z+ 3w= -143x-y+z+w =...

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Use the Gauss-Jordan method to solve the following system of equations.x+y- z+ 3w= -143x-y+z+w = 64x - 2y + z- 3w= 14Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution is ..., in the order x, y, z, w.B. There are infinitely many solutions. The solution is (...w), in the order x, y, z, w, where w is any real number.(Simplify your answers. Use integers or fractions for any numbers in the expressions.)C. There is no solution.

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