Question

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Answer 1

Resposta:

1)

a) x = 16/7

b) x = - 3

c) x = 6/13

d) x = 9

e) x = 3

f) x = - 13

g) x = 41/11

h) x = 38

i) x = - 17

j) x = 31/3

Explicação passo-a-passo:

1)

a)

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

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

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

7x/12 = 4/3

7x = 4.12/3

7x = 4.4

x = 16/7

b) (x - 1)/2 = (x - 3)/3

3(x - 1) = 2.(x - 3)

3x - 3 = 2x - 6

3x - 2x = - 6 + 3

x = - 3

c)

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

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

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

13x = 12/2

x = 6/13

d)

(x - 2)/2 = (x + 5)/4

4/2.(x - 2) = x + 5

2(x - 2) = x + 5

2x - 4 = x + 5

2x - x = 5 + 4

x = 9

e)

(x + 1)/4 = (2x - 1)/5

5(x + 1) = 4(2x - 1)

5x + 5 = 8x - 4

8x - 5x = 5 + 4

3x = 9

x = 9/3 = 3

f)

(x - 5)/6 = x + 10

x - 5 = 6(x + 10)

x - 5 = 6x + 60

6x - x = - 5 - 60

5x = - 65

x = - 65/5 = - 13

g)

2(x - 1)/5 = 3(x - 3)/2

2.2.(x - 1) = 3.5.(x - 3)

4(x - 1) = 15(x - 3)

4x - 4 = 15x - 45

15x - 4x = 45 - 4

11x = 41

x = 41/11

h)

2(x - 6) = (5x + 2)/3

2.3.(x - 6) = 5x + 2

6x - 36 = 5x + 2

6x - 5x = 2 + 36

x = 38

i)

7(x + 2) = 5(x - 4)

7x + 14 = 5x - 20

7x - 5x = - 20 - 14

2x = - 34

x = - 34/2 = - 17

j)

2(3x - 10)/3 = (5x - 3)/2

4(3x - 10) = 3(5x - 3)

12x - 40 = 15x - 9

15x - 12x = - 9 + 40

3x = 31

x = 31/3