Question

x-2分之4x-（1）=2-x分之3 x-3分之x-2x-6分之1=2分之1 x+3分之x=1+x-1分之2 解分式方程

Answer 1

4x(/x-2) - 1 = 3/(2-x)
4x(/x-2) -3/(2-x) = 1
4x/(x-2)+3/(x-2) = 1
(4x+3)/(x-2) = 1
4x+3=x-2
3x=-5
x=-5/3，经检验不是增根

x/(x-3) - 1/(2x-6) = 1/2
x/(x-3) - 1/[2(x-3)] = 1/2
(2x-1) / [2(x-3)] = 1/2
(2x-1) / (x-3) = 1
2x-1=x-3
x=-2，经检验不是增根

x/(x+3) = 1 + 2/(x-1)
x/(x+3) -1 = 2/(x-1)
[x-(x+3)]/(x+3) = 2/(x-1)
-3/(x+3) = 2/(x-1)
2(x+3)=-3(x-1)
2x+6=-3x+3
5x=-3
x=-3/5，经检验不是增根