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Reverting edit(s) by 2405:204:1228:3AE1:D993:C2E0:E06F:2A54 (talk) to rev. 1084798465 by 106.195.99.240: Vandalism (RW 16.1) |
i had just improven the language so that one can understand easily. Tag: Reverted |
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If a system of equations is inconsistent, then it is possible to manipulate and combine the equations in such a way as to obtain contradictory information, such as 2 = 1, or ''x''<sup>3</sup> + ''y''<sup>3</sup> = 5 ''and'' ''x''<sup>3</sup> + ''y''<sup>3</sup> = 6 (which implies 5 = 6).
Both types of equation system, which are consistent and inconsistent, can be any of [[overdetermined system|overdetermined]] (having more equations than unknowns), [[underdetermined system|underdetermined]] (having fewer equations than unknowns), or exactly determined.
==Simple examples==
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:<math>x+y+2z=4</math>
has an infinite number of solutions, all of them having any number ''z'' = 1 (as can be seen by subtracting the first equation from the second), and all of them therefore having the equation ''x+y'' = 2 for any values of ''x'' and ''y''.
The nonlinear system
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