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It is an inconsistent system of equations.

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Or perhaps you want examples?

One pair of inconsistent equations:

x + y = 4

x + y = 1

Another pair:

y = x2 + 3

y = 1

(In the first equation of this pair, y is minimised when x = 0, when its value is 3. But the second equation claims that y = 1.)

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11y ago
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Q: What is a system of equation that has no solution?
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