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m Reverted edits by 203.192.210.237 (talk) (HG) (3.4.10) |
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has the three solutions (''x, y'') = (1, –1), (–1, 1), and (1, 1).
===Overdetermined and inconsistent===
The system
:<math>x+y=3,</math>
:<math>x+ 2y= 7,</math>
:<math>4x+6y=21</math>
is inconsistent because the last equation contradicts the information embedded in the first two, as seen by multiplying each of the first two through by 2 and summing them.
The system
:<math>x^2+y^2=1,</math>
:<math>x^2+2y^2=2,</math>
:<math>2x^2+3y^2=4</math>
is inconsistent because the sum of the first two equations contradicts the third one.
==Criteria for consistency==
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