If a pair of linear equations have infinite solutions, then does that mean they are consistent? And first of all, what does it mean if two simultaneous equations are consistent?


A system of equations is said to be consistent is it admits (at least) one solution, in particular, if a pair of linear equation has infinitely many solutions, the system formed by them is consistent.

Note: You don't say "the equations are consistent" but "the system is consistent",

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    $\begingroup$ @Ramana You're welcome! There probably will be some other answers, please don't forget to select an accepted one at the very end. $\endgroup$ – Daniel May 14 '15 at 5:07

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