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 March 13th, 2014, 03:45 PM #1 Newbie   Joined: Mar 2014 Posts: 2 Thanks: 0 Simultaneous Equations There are 8 integers, $a$ and $b$ The straight lines: (i) $y-x=b-a$ (ii) $y+x=b+a$
 March 13th, 2014, 03:59 PM #2 Newbie   Joined: Mar 2014 Posts: 2 Thanks: 0 Re: Simultaneous Equations Sorry about the OP, I can't find the edit button. There are 8 separate values for the constant $a_n$ ($n=1, 2, 3,...,8$), and 8 separate values for the constant $b_n$ ($n=1, 2, 3,...,8$), such that the following 16 straight lines: (i) $y-x=b_n-a_n$ ($n=1, 2, 3,...,8$) (ii) $y+x=a_n+b_n$ ($n=1, 2, 3,...,8$) are all unique, providing the following conditions are met: (i)$a_n$and $b_n$are odd. (ii) $0. (iii) $0. (iv) All values of $a_n$are unique. (v) All values of $b_n$ are unique. Could anybody give me a hint as to how to solve this? Thanks!

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