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    5x+3y+2z=13
    x+y+z=3
    2y+3z=2

    I think I've found a solution of z=2(x-2), y=7-3x. Could someone tell me whether this is correct and that this is all i need to do. If it is wrong i will post my working and help may be required if available.

    N.B. question states use gaussian elimination to find the most general form the solution.
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    (Original post by Nels98)
    5x+3y+2z=13
    x+y+z=3
    2y+3z=2

    I think I've found a solution of z=2(x-2), y=7-3x. Could someone tell me whether this is correct and that this is all i need to do. If it is wrong i will post my working and help may be required if available.

    N.B. question states use gaussian elimination to find the most general form the solution.
    Yeah, that's correct. If I were you, I'd put it in the form of a line. By letting x = \lambda you have your solution line as r = (0, 7, -4) + \lambda (1, -3, 2).
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    (Original post by Nels98)
    Could someone tell me whether this is correct.
    As a check you can always substitute back into the original equations to see if your solution satisfies them.
 
 
 
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