Question

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

Use Gaussian elimination to find the complete solution to the following system of​ equations, or show that none exists.

{5x + 17y + 7z = 14

{2x + 7y -5z = -3

{ x + 3y - 3z = 8

Find the​ row-echelon form of the matrix for the given system of equations. ​(Do not include the vertical bar in the augmented​matrix.)

Select 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​expressions.)

C. There is no solution. The solution set is empty set∅.

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