Problem Solving (PS) | Re: If a/(b + c) = b/(c + a) = c/(a + b) = r then r cannot take any value

Stonely I got it wrong but tried to come up with a decent solution.

First I did the same as you. a = b = c = 1, gives us r = 1/2.

Then to the second part.

Consider r is equal to -1. This means that
\(\frac{ a}{(b +c)} =-1\)
thus
\( a =-1(b+c)\)
and finally
\( a + b + c =0\)
(The equations II. and III. are identical).
Any value for a, b and c which satisfies
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