甜蜜蜜电影高清完整版:初一分式方程组

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解分式方程组:
ab/(a+b)=1/3
bc/(b+c)=1/4
ca/(c+a)=1/5
要有具体步骤!谢谢!

(a+b)/ab=3
(b+c)/bc=4
(c+a)/ca=5

1/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) = -6
c = 1/3

1/a + 3 = 5
a = 1/2

3 + 1/b = 4
b = 1

a+b/ab=3------1/a+1/b=3(1)
b+c/bc=4------1/b+1/c=4(2)
c+a/ca=5------1/c+1/a=5(3)

(2)-(1):1/c-1/a=1(4)
(3)+(4):1/c*2=6------1/c=3------c=1/3
(4)得:1/a=2------a=1/2
(1)得:1/b=1------b=1