Matemática, perguntado por thaylademelo2, 3 meses atrás

ALGUÉM POR FAVOR ME AJUDA ‼️‼️​

Anexos:

Soluções para a tarefa

Respondido por ludimylapereira
0

Resposta:

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Explicação passo-a-passo:

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Respondido por Vi3000
1

Resposta:

a) x = 1

b) x = -1/5

c) x = 5/3

d) x = -5

e) x = 20

f) x = -14

g) x = 2

h) x = -4

i) x = -7/3

j) x = 29/2

k) x = 21/2

l) x = 3

m) x = 1/2

n) x = -25/3

o) x = 1/2

p) x = 11/4

q) x = 15/2

r) x = -23/2

s) x = -2

t) x = 4/25

u) x = 45/4

v) x = -2/11

Explicação passo-a-passo:

  • Resolução:

a) 8x-3 = 5

8x = 5+3

8x = 8

x = 8/8

x = 1

b) -9x = x+2

-9x-x = 2

-10x = 2

x = 2/-10÷2 = 1/-5 = -1/5

c) 4x-9 = 1-2x

4x+2x = 1+9

6x = 10

x = 10/6÷2 = 5/3

d) x+5 = 20+4x

x-4x = 20-5

-3x = 15

x = 15/-3

x = -5

e) 9x-4x+10 = 7x-30

5x+10 = 7x-30

5x-7x = -30-10

-2x = -40

x = -40/-2

x = 20

f) -(4x-1) = -3(x-5)

-4x+1 = -3x+15

-4x+3x = 15-1

-x×(-1) = 14×(-1)

x = -14

g) 3(x-2) = 5(2x-4)

3x-6 = 10x-20

3x-10x = -20+6

-7x = -14

x = -14/-7

x = 2

h) -2(3x-2) = 4(3-x)

-6x+4 = 12-4x

-6x+4x = 12-4

-2x = 8

x = 8/-2

x = -4

i) 2(3x-1) = 6(2x+2)

6x-2 = 12x+12

6x-12x = 12+2

-6x = 14

x = 14/-6÷2 = 7/-3 = -7/3

j) 7(x-2) = 5(x+3)

7x-14 = 5x+15

7x-5x = 15+14

2x = 29

x = 29/2

k) 15 = 5x-3(x+2)

15 = 5x-3x-6

15 = 2x-6

2x-6 = 15

2x = 15+6

2x = 21

x = 21/2

l) 2x+3x+9 = 8(6-x)

5x+9 = 48-8x

5x+8x = 48-9

13x = 39

x = 39/13

x = 3

m) 5(x+1)-3(x+2) = 0

5x+5-3x-6 = 0

5x-3x+5-6 = 0

2x-1 = 0

2x = 0+1

2x = 1

x = 1/2

n) 4(2x+10)-2(x-5) = 0

8x+40-2x+10 = 0

8x-2x+40+10 = 0

6x+50 = 0

6x = 0-50

6x = -50

x = -50/6÷2 = -25/3

o) 3x-2(4x-3) = 2-3(x-1)

3x-8x+6 = 2-3x+3

-5x+6 = 5-3x

-5x+3x = 5-6

-2x = -1

x = -1/-2

x = 1/2

p) 4(6x-4) = 5(4x-1)

24x-16 = 20x-5

24x-20x = -5+16

4x = 11

x = 11/4

q) x+2(x-14)+5(x/3+7) = 42

x+2x-28+5(x/3+5×7) = 42

3x+5x/3-28+35 = 42

3x+5x/3+7 = 42

3x/1+5x/3+7 = 42

3×3x+1×5x/1×3+7 = 42

9x+5x/3+7 = 42

14x/3+7 = 42

3(14x/3+7) 3×42

14x+21 = 126

14x = 126-21

14x = 105

x = 105/14÷7 = 15/2

r) 2x+1/6-4x-2/9 = 5/3

9(2x+1)-6(4x-2)/6×9 = 5/3

18x+9-24x+12/54 = 5/3

18x-24x+9+12/54 = 5/3

-6x+21/54 = 5/3

(-6x+21/54)÷3 = 5/3

-2x+7/18 = 5/3

3×(-2x+7) = 18×5

-6x+21 = 90

-6x = 90-21

-6x = 69

x = 69/-6÷3 = 23/-2 = -23/2

s) x/2-3x/4 = 1/2

4×(x/2-3x/4) = 4×(1/2)

4x/2-4×3x/4 = 2

2x-3x = 2

-x×(-1) = 2×(-1)

x = -2

t) 5x/2-2/5 = 0

10×(5x/2-2/5) = 10×0

10×5x/2-10×2/5 = 10×0

5×5x-2×2 = 0

25x-4 = 0

25x = 0+4

25x = 4

x = 4/25

u) 6x/5 = 2x-9

5×(6x/5) = 5×(2x-9)

6x = 10x-45

6x-10x = -45

-4x = -45

x = -45/-4 = 45/4

v) 7x/2+2x/5 = 3x-3/5

10×(7x/2+2x/5) = 10×(3x-3/5)

10×7x/2+10×2x/5 = 10×-3x-3/5

5×7x+2×2x = 2(3x-3)

35x+4x = 6x-6

39x-6x = -6

33x = -6

x = -6/33÷3 = -2/11

Eu espero ter ajudado :)

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