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    We have ab=bc=ca=a+b+cb+c+a=1ab=bc=ca=a+b+cb+c+a=1

    Then : ab=1⇒a=bab=1⇒a=b

                bc=1⇒b=cbc=1⇒b=c

                ca=1⇒c=aca=1⇒c=a

    Deduced : a = b = c 

    Which top post for a + b + c = 2007 => 3a = 2007 => a = 2007 : 3 = 669

    Dress a = b = c = 669

    There is something to ask good because neck one question or

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    We have : 5x2y + 4xy - 9x2y - 4xy 

    = 5x2y - 9x2y + 4xy - 4xy

    = -4x2y 

    Good 

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    Give : x−12=y+34=z−56=kx−12=y+34=z−56=k

    ⇒⎧⎪⎨⎪⎩x=2k+1y=4k−3z=6k+5⇒{x=2k+1y=4k−3z=6k+5

    Change x,y,z into 5z - 3x - 4y = 50 , we have :

    5(6k + 5) - 3(2k + 1) - 4(4k - 3) = 50

    30k + 25 - 6k - 3 - 16k + 12 = 50 

    8k + 34 = 50

    8k = 16

    => k = 2

    ⇒⎧⎪⎨⎪⎩x=2k+1=2.2+1=5y=4k−3=4.2−3=5z=6k+5=6.2+5=17

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