Question

resolva as equações abaixo involvendo frações:

A) X/2+ X/5= 5

B) X/5 + 2/3 = 8

C) X/2 + X/3 + X/4 = `13

D) X+3/ 4 + X+ 1/6 = 3

E) 2. (X+1 )/3 = 4 (2x + 1 )/9 = 9

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

G) 3x + 9 /4 - 5x + 16/ 7 = 0

Answer 1

x/2 + x/5 = 5/1
mmc = 10
5x + 2x = 50
7x = 50
x = 50/7 ***
b
x/5 + 2/3 = 8/1
mmc = 15
3x + 10 = 120
3x = 120 - 10
3x = 110
x = 110/3 ****
c
x/2 + x/3 + x/4 = 13/1
mmc = 12
6x + 4x + 3x = 156
13x = 156
x = 156/13 = 12 ****
d
x/1 + 3/4 + x /1+ 1/6 = 3/1
mmc = 12
12x + 9 + 12x + 2 = 36
24x + 11 = 36
24x = 36 - 11
24x = 25
x = 25/24 ***
e
f
x/1 - 2/5 + x/1 + 3/2 = x/1 + 5/5
mmc = 10
10x - 4 + 10x + 15 = 10x + 10
20x + 11 - 10x - 10 = 0
10x + 1 = 0
10x = -1
x = -1/10 ****
g
3x/1 + 9/4- 5x/1 + 16/7 = 0
mmc = 28
84x  + 63 - 140x + 64 = 0
-56x + 127  = 0
56x - 127 = 0
56x = 127
x = 127/56 ***