SOLUTION: Solve the following system algebraically: {{{ 3x+5y-z=2 }}} {{{ -x-8y+3z=-6 }}} {{{ 3z=2x }}} What I have tried: {{{ 3z = 2x }}} -> {{{ 3z/2=x }}}; {{{ 3x + 5y – z = 2 }}} -> {

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Question 632866: Solve the following system algebraically:
What I have tried: -> ; -> -> ; -> -> i multiplied every thing by 2 and got -> -> i multiplied every thing by 5 and got -> -> -> -> i plugged this number into the third top equation and got x=150, and plugged z and x into the second equation and got y=18. But when i plug these numbers into the first equation, the answer is wrong. I cannot figure out what I am doing wrong?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

Note:  general Procedure is to first the eliminate one of the variables using a pair of EQs

  

     |Multiplying 2nd Eq by 3 and adding to the first

     

  

      | Substituting for y and z 

    x =  -.5915

    y = 

    z =   

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