British Maths Olympiad (BMO) 2004 Round 1 Question 1 alternative approaches? – math.stackexchange.com

British Maths Olympiad (BMO) 2004 Round 1 Question 1 alternative approaches? – math.stackexchange.com

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The questions states: Solve the simultaneous equations (which I respectively label as $1,2,3,4$) $1: ab + c + d = 3 \\ 2:bc + d + a = 5 \\ 3: cd + a + b = 2 \\ 4: da + b + c = 6$ where $a,b,c,d$ ...

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