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Solving set of linear equations

  1. Sep 20, 2011 #1
    1. The problem statement, all variables and given/known data
    x=.5x + .3y +.2z
    y= .4x + .4y + .3z
    z= .1x + .3y + .5z

    x+y+z=1


    2. Relevant equations

    when solved, x= 21/62, y=23/62, z= 18/62

    3. The attempt at a solution
    I've tried doing row reduction but I keep failing ex:
    .5 .3 .2
    .4 .4 .3
    .1 .3 .5
    =
    0 -1.2 -2.3
    .4 .4 .3
    .1 .3 .5 I tried many combos of this and I get lost and have no idea how to really go about it
     
  2. jcsd
  3. Sep 21, 2011 #2
    One may represent a system of linear equations as an http://en.wikipedia.org/wiki/Augmented_matrix#Solution_of_a_linear_system".

    You failed to correctly represent the system of equations as a matrix. Notice how for the first equation has x on both sides. In the matrix representing the system, there should be one column for coefficient of x. The x on the left side of the first equation should not be ignored. So, first get the equations in the correct form.
     
    Last edited by a moderator: Apr 26, 2017
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