Question

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

{-x + y + z = -2

{-x + 5y -19z = -30

{ 7x - 5y - 17z = 0

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∅.

Answer 1