Consistent and inconsistent equations: Difference between revisions

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:<math>3x^3+5y^3+3z^3=34</math>
 
has an infinite no.number of solutions because the third equation is the first equation plus twice the second one and hence contains no independent information; thus any value of ''z'' can be chosen and values of ''x'' and ''y'' can be found to satisfy the first two (and hence the third) equations.
 
===Exactly determined and inconsistent===