# Solve using Gauss-Jordan Elimination Method

Solve System of Equations with 3 variables

-3x + 6y - 9z = 3
x - y - 2z = 0
5x + 5y - 7z = 63

Solve the system of linear equations using the Gauss-Jordan Method. I can start it but not sure where to go from the beginning.

### Comments for Solve using Gauss-Jordan Elimination Method

 Mar 07, 2013 Gaussian Elimination by: Staff Answer Part I The system of equations in your problem statement is: The augmented matrix for this system of equations is: The row operations used by the Gaussian elimination method are: ----------------------------------------------------------

 Mar 07, 2013 Gaussian Elimination by: Staff ---------------------------------------------------------- Part II ----------------------------------------------------------

 Mar 07, 2013 Gaussian Elimination by: Staff ---------------------------------------------------------- Part III ----------------------------------------------------------

 Mar 07, 2013 Gaussian Elimination by: Staff ---------------------------------------------------------- Part IV Convert the final matrix back into equation form: The three equations have a diagonal of 1's. The the answers are all in the last column. Final Answer : ----------------------------------------------------------

 Mar 07, 2013 Gaussian Elimination by: Staff ---------------------------------------------------------- Part V Check the answer by substituting the numerical values of x, y and z into the original equations: -3x + 6y - 9z = 3 -3*8 + 6*6 -9*1 = 3 -24 + 36 - 9 = 3 3 = 3, correct x - y - 2z = 0 8 - 6 - 2*1 = 0 2 - 2 = 0 0 = 0, correct 5x + 5y - 7z = 63 5*8 + 5*6 - 7*1 = 63 40 + 30 - 7 = 63 63 = 63, correct Since the numerical values of x, y, and z work in all three of the original equations, the solutions are correct. Thanks for writing. Staff www.solving-math-problems.com

 Dec 12, 2016 solution NEW by: Anonymous for those who want step by step answer for any linear system get Gauss calculator app for android from google play :) https://goo.gl/wFJ8gr thank me later ;)

 Apr 30, 2017 help solve NEW by: Anonymous The Collin freight company has an order for three product to be delivered to a destination. Product I requires 10 cubic feet, weighs 10 pounds and has a value of \$100. Product II requires 8 cubic feet, weighs 20 pounds, and has a value of \$20. Product III requires 20 cubic feet, weighs 40 pounds, and has a value of \$200. If the carrier can carry 6,000 cubic feet, 11,000 pounds, and is insured for \$ 36,900, how many of each product can be carried. 1.Identify the variables of the problem using x, y, and z.