Question

Resolva as equações a) 2a=a+8 b)5y+14=3y-12 c) 2×-4+×=-2+4× d) 12+17t=13t+8 e) 4+3×+12=×-5 f) 2,5×+1,4= 1,6×-1,3 g) -z+12+5z=-2z+36 h) -0,5×+4=2,5+× i) 5b-110+2b=4b-20 j) 24c+13=-12+5c-3

Answer 1

Resolva as equações
   ISOLAR as VARIÁVEIS

a) 2a=a+8

2a - a = 8 
1a = 8
a = 8/1
a = 8


 b)5y+14=3y-12

5y + 14 - 3y = - 12
5y - 3y = - 12 - 14
2y = - 26
y = - 26/2
y = - 13




 c) 2×-4+×=-2+4×

2x + x - 4 = - 2 + 4x
3x - 4 = - 2 + 4x
3x - 4 - 4x = - 2 
3x - 4x = - 2 + 4
- 1x = + 2
x = 2/-1
x = - 2/1
x = - 2

 d) 12+17t=13t+8

12 + 17t - 13t = 8
12 + 4t = 8
4t = 8 - 12
4t = - 4
t = - 4/4
t = - 1


 e) 4+3×+12=×-5

4 + 12 + 3x = x - 5
16 + 3x = x - 5
16 +3x - x = - 5
16 + 2x = - 5
2x = - 5 - 16
2x = - 21
x = - 21/2







f) 2,5×+1,4= 1,6×-1,3

2,5x + 1,4 - 1,6x = - 1,3
2,5x - 1,6x = - 1,3 - 1,4
1,5x = - 2,7
x = - 2,7/1,5
x = - 1,8




 g) -z+12+5z=-2z+36

- z + 5z + 12 = - 2z + 36
4z + 12 = - 2z + 36
4z + 12 + 2z = 36
4z + 2z = 36 - 12
6z = 24
z = 24/6
z = 4

 h) -0,5×+4=2,5+×
- 0,5x + 4 - x = 2,5
- 0,5x - x = 2,5 - 4
-1,5x = - 1,5
x = - 1,5/-1/5
x = + 1,5/1,5
x = + 1


 i)5b-110+2b=4b-20

5b + 2b - 110 = 4b - 20
7b - 110 = 4b - 20
7b - 110 - 4b = - 20
7b - 4b = - 20 + 110
3b =  + 90
b = 90/3
b = 30

j) 24c+13=-12+5c-3

24c + 13 = - 12 - 3 + 5c
24c + 13 = - 15 + 5c
24c + 13 - 5c = - 15
24c - 5c = - 15 - 13
19c =  28
c = 28/19