7. Determine consistent system, if possible. if each system of planes is or inconsistent. Then solve the a) 3x + 5y = 2z = 8 -2x - 3y + 4z = 2 7x + 11y - 10z = 21

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 62E
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7. Determine if each system of planes is
consistent or inconsistent. Then solve the
system, if possible.
a) 3x + 5y - 2z = 8
-2x - 3y + 4z = 2
7x + 11y - 10z = 21
b) 4x + y = 2z = 3
2x - 3y - 2z = 1
6x + 5y - 6z = 0
c) 2x - 3y + 8z = 7
x-8y + z = 14
5x - 14y + 17z = 28
Transcribed Image Text:7. Determine if each system of planes is consistent or inconsistent. Then solve the system, if possible. a) 3x + 5y - 2z = 8 -2x - 3y + 4z = 2 7x + 11y - 10z = 21 b) 4x + y = 2z = 3 2x - 3y - 2z = 1 6x + 5y - 6z = 0 c) 2x - 3y + 8z = 7 x-8y + z = 14 5x - 14y + 17z = 28
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