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Use Gaussian elimination to find the complete solution to the following system of equations, or...

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Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists.5x + 17y + 4z = 142x + 7y+ 3z=-6x + 3y - 2z = 2Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.A. There is one solution. The solution set is {( )}. (Simplify your answers.)B. There are infinitely many solutions. The solution set is {( , , z)}, where z is any real number.(Type expressions using z as the variable. Use integers or fractions for any numbers in the expression.)C. There is no solution. The solution set is .

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