Verified answer

Réponse:

a)

3x-2/x+1 = 1/2

2*(3x-2) = x+1

6x-4 = x+1

6x-x = 1+4

5x = 5

x= 5/5 = 1

b)

x+6/2x+1 = x-3/2x-2

(x+6)(2x-2) = (x-3)(2x+1)

2x^2 -2x+12x-12 = 2x^2+x-6x-3

2x^2+10x-12 = 2x^2-5x-3

2x^2+10x-2x^2+5x = -3+12

15x = 9

x= 9/15

x= 3/5

c)

5-x/x+2 +2/3 =0

5-x/x+2 = -2/3

3(5-x) = -2(x+2)

15-3x = -2x-4

-3x+2x = -4-15

-x = -19

x= 19

d)

x/x+5 - 2x/2x+3 = 0

x/x+5 = 2x/2x+3

x(2x+3) = 2x(x+5)

2x^2+3x = 2x^2+10x

2x^2+3x-2x^2-10x =0

-7x=0

x =0