Question

Resolva as equações:
A)6x=2x+16
B)4x-10=2x+2
C)2x+1-4x-7
D)3x-2=4x+9
E)5x+4=3x-2x+4
F)x+x-4=17-2x+1
G)3,4x-2,6=x-0,92
H)0,1x+3x+0,9x=14+2x

Answer 1

Resolva as equações:A)6x=2x+16

6x = 2x + 16
6x - 2x = 16
4x = 16
x = 16/4
x = 4




B)4x-10=2x+2

4x - 10 = 2x + 2
4x - 10 - 2x = 2
4x - 2x = 2 + 10
2x = 12
x = 12/2
x = 6





C)2x+1-4x-7

2X + 1 - 4X - 7
2x - 4x - 7 + 1
- 2x - 6 
- 2x = + 6
x = 6/-2
x = - 6/2
x = - 3



D)3x-2=4x+9

3x - 2 = 4x + 9
3x - 2 - 4x = 9
3x - 4x = 9 + 2
- 1x = 11
x = 11/-1
x = - 11/1
x = - 11


E)5x+4=3x-2x+4

5x + 4 = 3x - 2x + 4
5x + 4 = 1x + 4
5x + 4 - 1x + 4
5x - 1x = 4 - 4
4x = 4 - 4
4x = 0
x = 0/4
x = 0



F)x+x-4=17-2x+1

x + x - 4 = 17 - 2x + 1
2x - 4 = 17 + 1 - 2x
2x - 4 = 18 - 2x
2x + 4 + 2x = 18
2x + 2x = 18 - 4
4x = 16
x = 16/4
x = 4




G)3,4x-2,6=x-0,92

3,4x - 2,6 = x - 0,92
3,4x - 2,6 - x = 0,92
3,4x - x = 0,92 + 2,6
2,4x = 3,52
x = 3.52/2,4  ( DIVIDE ambos por 16)
x = 0,22/0,15
ou
x = 1,4666...

H)0,1x+3x+0,9x=14+2x

0,1x + 3x + 0,9x = 14 + 2x
4x = 14 + 2x
4x - 2x = 14
2x = 14
x = 14/2
x = 7