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

a) x/2 + x/5 = 5
5x/10 + 2x/10 = 50 /10
7x=50
x = 50/7

b) x/5 + 2/3 = 8
3x/15 + 10/15 = 120/15
3x = 120-10
x = 110/3

c) x/2 + x/3 x/4 = 13
6x/12 + 4x/12 + 3x/12 = 156
13x=156
x=156/13
x=12

d) x+3/4 + x + 1/6 = 3
3(x+3) + 12x + 2 = 36
3x + 9 +12x + 2 = 36
15x = 36 - 11
15x =25
x = 25/15 = 5/3

e)???

f) x-2/5 + x+3/2 = x+5/5
2(x-2)/10 + 5(x+3)/10 = 2(x+5)/10
2x - 4 + 5x + 15 = 2x +10
5x = 10 - 11
x = -1/5

g)3x+9/4 - 5x+16/7 =0
7(3x+9)/28 - 4(5x+16)/28 =0
21x +63 -20x - 64 =0
1x=1
x=1