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.
Chapter4: Systems Of Linear Equations
Section4.4: Solve Systems Of Equations With Three Variables
Problem 4.66TI: Solve: {4x3z=53y+2z=73x+4y=6 .
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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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