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    jmsoftball02's Avatar
    jmsoftball02 Posts: 1, Reputation: 1
    New Member
     
    #1

    Aug 19, 2009, 03:25 PM
    how do i solve with 3 variables?
    I have to solve this linear equation with 3 variabes:

    x-2y=1
    x+3y+z=0
    2x-2z=18

    answer has to be in (x,y,z) formation... please help
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
    Ultra Member
     
    #2

    Aug 19, 2009, 04:26 PM
    Use elimination method or substitution method. Here is elimination:





    Multiply the second row by 2:





    Now, add it to the third row:




    That eliminated z.

    Now, Multiply the first row by -4:




    Add to the second row:





    Now, back substitute to find x and z.

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