Question

1 - Resolva as equações de 1° grau:

a) -3 ( 3x - 42 )=2 ( 7x -52 )

b) x/2+(1-x)/5=1/2

c) (x+3)/2+(x+2)/3=(-1)/2

d) (3+x)/2-(1-x)=(x-1)/4

e) (3x -1)/2-(4x +2)/4-(2x -4)/3=(x-5)/6

f) 2(x-1)/3+3(1+x)/2=1/2-(x-1)/3

Answer 1

Resposta:

a) -9x + 126 = 14x - 104

-23x = -230

x = 230 / 23

x = 10

b)x / 2 + (1 - x) / 5 = 1 / 2

5x / 10 + 2(1 - x) / 10 = 5 / 10

5x + 2 - 2x = 5

3x = 3

x = 1

c)(x + 3) / 2 + (x + 2) / 3 = -1 / 2

3(x + 3) / 6 + 2(x + 2) / 6 = -3 / 6

3x + 9 + 2x + 4 = -3

5x = -16

x = -16 / 5

d) (3 + x) / 2 - (1 - x) = (x - 1) / 4

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

6 + 2x - 4 + 4x = x - 1

6x = -3

x = -3 / 6

x = -1 / 2

e) (3x - 1) / 2 - (4x + 2) / 4 - (2x - 4) / 3 = (x - 5) / 6

6(3x - 1) / 12 - 3(4x + 2) / 12 - 4(2x - 4) / 12 = 2(x - 5) / 12

18x - 6 - 12x - 6 - 8x + 16 = 2x - 10

-4x = -14

x = 14 / 4

x = 7 / 2

f) 2(x - 1) / 3 + 3(1 + x) / 2 = 1 / 2 -(x - 1) / 3

4(x - 1) / 6 + 9(1 + x) / 6 = 3 / 6 - 2(x - 1) / 6

4x - 4 + 9 + 9x = 3 - 2x + 2

15x = 0

x = 0