初一分式方程组解分式方程组：ab/(a+b)=1/3bc/(b+c)=1/4ca/(c+a)=1/5

Question

初一分式方程组
解分式方程组：
ab/(a+b)=1/3
bc/(b+c)=1/4
ca/(c+a)=1/5

Answer 1

(a+b)/ab=3(b+c)/bc=4(c+a)/ca=51/b + 1/a = 3 ------(1)1/c + 1/b = 4 ------(2)1/a + 1/c = 5 ------(3)(1)-(2)-(3):(1/b + 1/a)-(1/c + 1/b)-(1/a + 1/c) = -6c = 1/31/a + 3 = 5a = 1/23 + 1/b = 4b = 1