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Mathematics 16 Online
OpenStudy (anonymous):

What situation will result in a final answer of “No Solutions” when using Cramer’s Rule? Answer Only Dx and Dy will equal zero Only D will equal zero None of the above D, Dx and Dy will equal zero

OpenStudy (anonymous):

Which on is the answer?

OpenStudy (anonymous):

i dont understand it.

jimthompson5910 (jim_thompson5910):

check out this page http://marc.mtsac.edu/worksheet/general_topics/7cramer_rule.pdf

OpenStudy (anonymous):

Well thats dandy and all but i just don't see where any of these would equal no solution.

jimthompson5910 (jim_thompson5910):

look in the section where it says "If the determinant in the denominator is zero, then one of two things is implied"

OpenStudy (anonymous):

Wouldn't there still be a solution though?

jimthompson5910 (jim_thompson5910):

there's only a solution (infinitely many actually) when all 3 determinants D, Dx, Dy are all zero

jimthompson5910 (jim_thompson5910):

If D = 0, but Dx and Dy are nonzero, then you'll have an inconsistent system (ie no solutions)

OpenStudy (anonymous):

oh ok so as long as a numerator isn't zero and the denominator is zero it will be inconsistent

OpenStudy (anonymous):

thx

jimthompson5910 (jim_thompson5910):

exactly

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