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Simultaneous Equations

  1. Jul 27, 2009 #1
    1. The problem statement, all variables and given/known data
    Find a,b,c,z
    2a+b+2c=z
    a+2b+c=4
    a+b+2c=3

    2. The attempt at a solution
    Ok so i've tried multiplying all lines by 2 so you may possibly cancel out 2a, but not sure where to go after i multiplied everything.

    Then i tried to just cancel one equation and then another one e.g

    4a+5b+4c=10
    4a+4b+8c=12

    B-4c=-2

    But not sure.

    I would really like an explanation on how to actually do it rather than the answer.
     
  2. jcsd
  3. Jul 27, 2009 #2
    the question has given 4 variables and only 3 equations so you can not find a,b,c,z what you may be able to do is find a,b,c in terms of z and a constant.

    to do this continue wih the subsitition of one equation into another treating z as a constant

    not sure how you got 4a+5b+4c=10, 4a+4b+8c=12

    but try subsituting
    a+2b+c=4
    a+b+2c=3 canceling the 'a'
    and do the same with
    2a+b+2c=z
    a+2b+c=4
    then you will have 2 equations and two unkowns, i'm sure you can see where to go with that
     
  4. Jul 28, 2009 #3
    Ok thanks for the help i've figured it out. i appreciate the help :D
     
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