(1)x 5---- + ---- =42x-3 3-2x(2)3-x 1---- + ----x-4 4-x=1(3)2-x 1 1---- = --- + ----3+x 2 x+3

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(1)x 5---- + ---- =42x-3 3-2x(2)3-x 1---- + ----x-4 4-x=1(3)2-x 1 1---- = --- + ----3+x 2 x+3
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(1)x 5---- + ---- =42x-3 3-2x(2)3-x 1---- + ----x-4 4-x=1(3)2-x 1 1---- = --- + ----3+x 2 x+3
(1)
x 5
---- + ---- =4
2x-3 3-2x
(2)
3-x 1
---- + ----
x-4 4-x=1
(3)
2-x 1 1
---- = --- + ----
3+x 2 x+3

(1)x 5---- + ---- =42x-3 3-2x(2)3-x 1---- + ----x-4 4-x=1(3)2-x 1 1---- = --- + ----3+x 2 x+3
x/(2x-3)+5/(3-2x)=4
x/(2x-3)-5/(2x-3)=4
等式两边同时乘以(2x-3)
x-5=4(2x-3)
x-5=8x-12
8x-x=12-5
7x=7
x=1
经检验x=1是原分式方程的解.
(3-x)/(x-4)+1/(4-x)=1
(3-x)/(x-4)-1/(x-4)=1
等式两边同时乘以(x-4)
3-x-1=x-4
x+x=3-1+4
2x=6
x=3
经检验x=3是原分式方程的解.
(2-x)/(3+x)=1/2+ 1/(x+3)
等式两边同时乘以(x+3)
2-x=(x+3)/2+1
2-x=x/2+5/2
x/2+x=2-5/2
3x/2=-1/2
x=-1/3
经检验x=-1/3是原分式方程的解.

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