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8a Solve the following system of linear equations by variable substitution. -2x 34z y + 6x + y -15 38 3x + 102z 18 The result should end up as: x 17/3, y = 4, z = 1/102. 8b Find the reduced row echelon for of this matrix by Gaussian Elimination. 34| -15 | 38 102 | 18 -2 -1 1 3 You should get a familiar result for the rightmost column. The key here is not that the solution was faster, but instead that the method of solution is more organized.

8a Solve the following system of linear equations by variable substitution. -2x 34z y + 6x + y -15 38 3x + 102z 18 The result should end up as: x 17/3, y = 4, z = 1/102. 8b Find the reduced row echelon for of this matrix by Gaussian Elimination. 34| -15 | 38 102 | 18 -2 -1 1 3 You should get a familiar result for the rightmost column. The key here is not that the solution was faster, but instead that the method of solution is more organized.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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8a Solve the following system of linear equations by variable substitution. - 2x y + 34z -15 6x + Y 38 3x + 102z 18 The result should end up as: x = - 17/3, y = 4, z = = 1/102. 8b Find the reduced row echelon for of this matrix by Gaussian Elimination. 34 | -15 | 38 102| -2 -1 1 3 18 You should get a familiar result for the rightmost column. The key here is not that the solution was faster, but instead that the method of solution is more organized. 4
Transcribed Image Text:8a Solve the following system of linear equations by variable substitution. - 2x y + 34z -15 6x + Y 38 3x + 102z 18 The result should end up as: x = - 17/3, y = 4, z = = 1/102. 8b Find the reduced row echelon for of this matrix by Gaussian Elimination. 34 | -15 | 38 102| -2 -1 1 3 18 You should get a familiar result for the rightmost column. The key here is not that the solution was faster, but instead that the method of solution is more organized. 4
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