Question

If a+b-c/a+b=b+c-a/b+c=c+a-b/c+a and a+b+c not=0 then prove that a=b=c

Answer 1

a+b-c/a+b = -c(a+b/a+b=0)
b+c-a/b+c = -a
c+a-b/c+a = -b
so -c = -a = -b
therefore, a=b=c

Answer 2

Answer:

Step-by-step explanation:

a+b-c/a+b = -c(a+b/a+b=0)

b+c-a/b+c = -a

c+a-b/c+a = -b

so -c = -a = -b

therefore, a=b=c