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One variable equal to two constants = inconststant?

  1. Aug 26, 2011 #1
    1. The problem statement, all variables and given/known data
    I have been given a 3X4 matrix and asked to find whether the plane equations which are it's constituents intersect at least at a single point. I end up with one variable equal to two different constants. Is this an example of inconsistency, and thus the planes to not intersect anywhere ( no solution)?

    Thank you
  2. jcsd
  3. Aug 26, 2011 #2


    Staff: Mentor

    If there are no errors in your work, and you end up with, say, x = 2 and x = 3, then the system is inconsistent, and there are no solutions.
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