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Inconsistency in Three Equations

Inconsistency in Three Equations

IB Year 5 | Grade 11
5 marks
TGM Original
Consider the system 2x-y+z=3, x+y-2z=-1, 3x-z=5. Determine whether a simultaneous solution exists. Justify your answer by elimination; a calculator error message is not sufficient.

Solution:

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Answer:No solution: elimination gives the contradiction \(0=3\).

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