Content deleted Content added
No edit summary Tags: Mobile edit Mobile web edit |
restoring most recent unvandalized version |
||
Line 5:
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, consistent and inconsistent, can be any of [[overdetermined system|overdetermined]] (having more equations than unknowns), [[underdetermined system|underdetermined]] (having fewer equations than unknowns), or
==Simple examples==
Line 15:
:<math>x+y+2z=4</math>
has an infinite number of solutions, all of them having ''z'' = 1 (as can be seen by subtracting the first equation from the second), and all of them therefore having ''x+y'' = 2 for any values of ''x'' and ''y''.
The nonlinear system
| |||