If ab+c=bc+a=Cb+a then which one of the following statements is correct?

a/(b+c) = b/(c+a) = c/(a+b) Taking reciprocal and adding 1 to each ratio we get; (b+c)/a + 1 = b/(c+a) + 1 = c/(a+b) + 1 Or (a+b+c)/a = (a+b+c)/b = (a+b+c)/c So this can only be equal when a=b=c or a+b+c = 0 When a=b=c we get a/(b+c)= ½When a+b+c = 0 we get b+c = -a So a/(b+c) = -1 So the ratios are ½ or -1