Question

Qual o valor da equação x menos 1 por 2 mais x menos 3 por 3 é igual a 6

Answer 1

a)

$\frac{x-1}{2} + \frac{x-3}{3} =6$

mmc = 6

$\frac{3.(x-1)+2.(x-3)}{6} =6$

$\frac{3x-3+2x-6}{6} = 6$

$\frac{5x-9}{6} =6$

5x - 9 = 6 . 6

5x - 9 = 36

5x = 36 + 9

5x = 45

x = 45/5

x = 9

b)

$\frac{x-2}{3} - \frac{x+1}{4} =4$

mmc = 12

$\frac{4(x-2)-3(x+1)}{12} =4$

$\frac{4x-8-3x-3}{12} =6$

x - 11 = 12 . 6

x - 11 = 72

x = 72 + 11

x = 83

c)

$\frac{2x-3}{4} - \frac{2-x}{3} = \frac{x-1}{3}$

mmc = 12

$\frac{3(2x-3)-4(2-x)}{12} = \frac{x-1}{3}$

$\frac{6x-9-8+4x}{12} = \frac{x-1}{3}$

$\frac{10x-17}{12} = \frac{x-1}{3}$

3(10x-17) = 12(x-1)

30x - 51 = 12x -12

30x - 12x = -12 + 51

18x = 39

$x= \frac{39}{18}$      

simplificando:

$x= \frac{13}{6}$