Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, set z = a and solve for x and y in terms of a.)     2x  −  y  +  3z  =  16     2y  −  z  =  15 7x  −  5y      =  11

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section: Chapter Questions
Problem 15T: One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a...
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Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, set z = a and solve for x and y in terms of a.)

 
 
2x  −  y  +  3z  =  16
    2y  −  z  =  15
7x  −  5y      =  11

 

Use matrices to solve the system of equations, if possible. Use Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, set z = a and solve for x and y in terms of a.)

2x   + 3z = 15
4x - 3y + 7z = 11
8x -9y + 15z = 3

 

2x + 2y - z = 12
x - 3y + z = -28
- x + y   = 12
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