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Solving linear equations with exactly one solution

  1. Nov 12, 2012 #1
    1.Determine the value(s) of k for which the system of linear equations
    x + 2y = 1
    (k2)x - 2ky = 2
    has exactly one solution


    3.How do i solve this, i tried the 2x2 matrix
    whereby, i had
    |1 2|
    |k2 -2k|
    and tried to make [2 and k^2 = zero] and [-2k = one]
    But I can't seem to solve it completely
    is there another way we can do this?
     
    Last edited by a moderator: Nov 12, 2012
  2. jcsd
  3. Nov 12, 2012 #2

    LCKurtz

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  4. Nov 12, 2012 #3

    SammyS

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    Try solving the system, as it is, for x & y.

    See how k is involved in that solution.
     
  5. Nov 12, 2012 #4
    I've tried that and there are 2 values of k, but don't you think when it says it has exactly one solution than it means k should have one value.
     
  6. Nov 12, 2012 #5

    SammyS

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    No.

    It means, "What value or values may k have so that the system has one (x, y) solution?"
     
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