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Math Help - Linear Algebra Systems?

  1. #1
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    Linear Algebra Systems?

    If the following system has infinitely many solutions,
    -4x-5y-6z=6
    -5x+7y+3z=7
    14x-9y+hz=k
    then k=?, h=?

    I've been working on this and can't figure it out, could someone solve it and show me the answer as well as how they got to the answer? Thanks!
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  2. #2
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    Quote Originally Posted by ChingKing08 View Post
    If the following system has infinitely many solutions,
    -4x-5y-6z=6
    -5x+7y+3z=7
    14x-9y+hz=k
    then k=?, h=?

    I've been working on this and can't figure it out, could someone solve it and show me the answer as well as how they got to the answer? Thanks!
    do the gaussian elimination to get the row echelon form. it should have zero row in order to :
    1. has no solution
    2. has infinitely many solution
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  3. #3
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    Quote Originally Posted by dedust View Post
    do the gaussian elimination to get the row echelon form. it should have zero row in order to :
    1. has no solution
    2. has infinitely many solution
    I've been trying that I just can't get the rows to work out right for some reason...I'll keep trying though. Thanks for helping me be certain I'm on the right track though, much appreciated.
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