Question

RESOLVA AS EQUAÇÕES FRACIONARIAS


A-$\frac{9}{X}+\frac{6}{X} =3$

B-$8-\frac{3}{X} =\frac{1}{X}$

C-$\frac{5}{(X+2)} =\frac{3}{(X-8)}$

D-$\frac{6}{(X+2)} =\frac{4}{(X-5)}$

Answer 1

Resposta:

Explicação passo a passo:

9/x + 6/x = 3

Mmc = x

(9+6)/x = 3x/x

15 = 3x

3x = 15

x = 15/3

X = 5

8 - 3/x = 1/x

8 = 1/x + 3/x

8 = 4/x

8x = 4 (:4)

2x = 1

X = 1/2

5/(x+2)= 3/(x-8)

5.(x-8)= 3.(x+2)

5x - 40 = 3x + 6

5x - 3x = 6 + 40

2x = 46

X = 46/2

X = 23

6/(x+2) = 4/(x-5)

6.(x-5)= 4.(x+2)

6x - 30 = 4x + 8

6x - 4x = 8 + 30

2x = 38

x = 38/2

x = 19