, MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork / jackson prep 101-spring 2018

Question

, MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork / jackson prep 101-spring 2018/7.3 multivariable equations /1 7.3 Multivariable Equations: Problem 1 Problem List Next (2 points) The system of equations 2x-3y-z=-16, (5x-y-z=-11 has a unique solution. Find the solution using Gaussin elimination method or Gauss-Jordan ellmination method Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Emall Instructor MacBook Air 8

Explanation / Answer

solution using Gauss-Jordan elimination

Augmented matrix for given system of equations

Your matrix

Find the pivot in the 1st column (inversing the sign in the whole row) and swap the 2nd and the 1st rows

Eliminate the 1st column

Find the pivot in the 2nd column in the 2nd row

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by 73

Eliminate the 3rd column

Solution set:

x = -1

y = 4

z = 2

X1 X2 X3 b 1 2 -3 -1 -16 2 -1 2 -5 -1 3 5 -1 -1 -11

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