Question

1)resolva as equações :
A)20X-4=5X
B)5(1-X)-2X+1=-3(2+X)
C)4X=-8X+36
D)2+3X-3X+1=5X-2X-1
É)4X-3=2X-5
F)1-2X=2X
G)6X-4=2X+8
H)17X-2+4=10+5X

Answer 1

1)resolva as equações :
A)


20X-4=5X

20X = 5X + 4
20x - 5x = 4
15x = 4
x = 4/15

 
B)
5(1-X)-2X+1=-3(2+X)
5 - 5x - 2x - 1 = - 6 - 3x
5 - 7x - 1 = - 6 - 3x
5 - 1 - 7x = - 6 - 3x
4 - 7x = - 6 - 3x
4 - 7x + 3x = - 6
4 - 4x = - 6
- 4x = - 6 - 4
-4x = - 10
x = - 10/-4
x = + 10/4   ( divide AMBOS por 2)
x = 5/2
 
C)4X=-8X+36
4x + 8x = 36
12x = 36
x = 36/12
x = 3

D)
2+3X-3X+1=5X-2X-1
2      0     + 1 = 3x - 1
2 + 1 = 3x - 1
3 = 3x - 1
3 + 3x = - 1
3x = - 1 - 3
3x = - 4
x = - 4/3

É)4X-3=2X-5
4x - 3 - 2x = - 5
4x - 2x = - 5 + 3
2x = - 2
x = - 2/2
x = - 1

F)1-2X=2X
- 2x = 2x = 1
- 2x - 2x = - 1
- 4x = - 1
x = - 1/-4
x =+1/4
  
G)6X-4=2X+8
6x - 4 - 2x = 8
6x - 2x = 8 + 4
4x = 12
x = 12/4
x = 3

H)17X-2+4=10+5X
 17x + 2 = 10 + 5x
17x + 2 - 5x = 10
17x - 5x = 10 - 2
12x = 8
x = 8/12  ( divide AMBOS por 4)
x = 2/3