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(- c secure! https://www.rmatha.com/Studentmayer a Secure I https//www.mathxl.com/student/Player Test.aspatestid-161412841 MAT 171 1101 Quiz: MAT 171 Quiz 5 This Question: 10 pts 47 of 10 (2 cor Use Gaussian elimination to find the complete solution to the system of equations, or show that none eists 6x+5y + 3z =-13 5x-5y-6z5 Select the correct choice below and, if necessary, fillinl the answer box to complete your choice O A. There is one solution. The solution set is ) O B. There are infinitely many solutions. The solution set is (2)). where z is any real number ° C. There is no solution The solution set is tSimplity your answers.) (Type expressions using z as the variable Use integers or fractions for any numbers in the expressions ) lick to select and enter your answer(s) Type here to search

Explanation / Answer

Augmented matrix of given system of equations

Your matrix

Find the pivot in the 1st column and swap the 3rd and the 1st rows

Eliminate the 1st column

Find the pivot in the 2nd column (inversing the sign in the whole row) and swap the 3rd and the 2nd rows

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by -91

Eliminate the 3rd column

solutions

x = -3

y = 4

z = -5

set (-3, 4 , -5)

X1 X2 X3 b 1 6 5 3 -13 2 5 -5 -6 -5 3 1 1 -1 6

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