Question

1) Resolva as equações, encontrando o valor da variável:
a) 5.(x + 2) = 4.(x + 7)
b) 8x – 1 = 6x +7
c) 4.(x + 4) = 2.(x + 1) +2
d) 3.(m + 1) = 2.(m – 1) + 3
e) 6x + 2 = 4.(x – 8)
f) 4.(x – 2) = x + 12
g) 4.(x – 7) = 3.(x + 3)
h) 5.(x – 4) = x – 16
i) 6.(x – 1) = 2x – 6
j) 4.(x – 4) = 2.(x + 3)

Answer 1

Resposta:

a) x = 18

b) x = 4

c) x = -6

d) m = -2

e) x = -17

f) x = $\frac{20}{3}$  ou x = 6.66666666667

g) x = 37

h) x = 1

i) x = 0

j) x = 11

Explicação passo a passo:

• a) 5.(x + 2) = 4.(x + 7)

$5.(x + 2) = 4.(x + 7)\\\\5.x + 5.2 = 4.x + 4.7\\\\5x + 10 = 4x + 28\\\\5x - 4x = + 28 - 10\\\\x = 18$

• b) 8x – 1 = 6x +7

$8x - 1 = 6x +7\\\\8x - 6x = + 7 + 1\\\\2x = 8\\\\x = \frac{8}{2} \\\\x = 4$

• c) 4.(x + 4) = 2.(x + 1) +2

$4.(x + 4) = 2.(x + 1) +2\\\\4 . x + 4.4 = 2.x + 2.1 + 2\\\\4x + 16 = 2x + 2 + 2\\\\4x + 16 = 2x + 4\\\\4x - 2x = 4 - 16\\\\2x = -12\\\\x = \frac{-12}{2} \\\\x = -6$

• d) 3.(m + 1) = 2.(m – 1) + 3

$3.(m + 1) = 2.(m-1) + 3\\\\3.m + 3.1 = 2.m -2.1 + 3\\\\3m + 3 = 2m - 2 + 3\\\\3m + 3 = 2m + 1\\\\3m - 2m = 1 -3\\\\m = -2$

• e) 6x + 2 = 4.(x – 8)

$6x + 2 = 4.(x-8)\\\\6x + 2 = 4.x - 4.8\\\\6x + 2 = 4x - 32\\\\6x - 4x = -32 -2\\\\2x = -34\\\\x = \frac{-34}{2}\\\\x = -17$

• f) 4.(x – 2) = x + 12

$4.(x-2) = x + 12\\\\4.x - 4.2 = x + 12\\\\4x - 8 = x + 12\\\\4x - x = 12 + 8\\\\3x = 20\\\\x = \frac{20}{3} \\\\ou\\\\x = 6.66666666667$

• g) 4.(x – 7) = 3.(x + 3)

$4.(x-7) = 3.(x + 3)\\\\4.x - 4.7 = 3.x + 3.3\\\\4x - 28 = 3x + 9\\\\4x - 3x = 9 + 28\\\\x = 37$

• h) 5.(x – 4) = x – 16

$5.(x -4) = x -16\\\\5.x - 5.4 = x - 16\\\\5x - 20 = x - 16\\\\5x - x = - 16 + 20\\\\4x = +4\\\\x = \frac{4}{4} \\\\x = 1$

• i) 6.(x – 1) = 2x – 6

$6.(x-1) = 2x -6\\\\6.x - 6.1 = 2x - 6\\\\6x - 6 = 2x - 6\\\\6x - 2x = - 6 + 6\\\\4x = 0\\\\x = \frac{0}{4} \\\\x = 0$

• j) 4.(x – 4) = 2.(x + 3)

$4.(x -4) = 2.(x + 3)\\\\4 . x - 4. 4 = 2.x + 2.3\\\\4x - 16 = 2x + 6\\\\4x - 2x = 6 + 16\\\\2x = 22\\\\x = \frac{22}{2} \\\\x = 11$

Espero ter ajudado , se precisar estamos aqui a disposição.            

(Se realmente merecermos , marque como melhor resposta para nos ajudar) ❤️

Answer 2

Resposta:

a) 5.(x+2)=4.(x+7)

5x+10=4x+28

5x-4x=28-10

x=18

B)8x-1=6x+7

8x-6x=7+1

2x=8

x=8/2

x=4

c) 4.(x + 4) = 2.(x + 1) +2

4x+16=2x+2+2

4x-2x=2+2-16

2x=-12

x=12/2

x=-6

d) 3.(m + 1) = 2.(m – 1) + 3

3m+3=2m-2+3

3m-2m=-2+3-3

x=-2

e) 6x + 2 = 4.(x – 8)

6x+2=4x-32

6x-4=-32-2

2x=-34

x=34/2

x=-17

f) 4.(x – 2) = x + 12

4x-8=x+12

4x-x=12+8

3x=20

x=20. fração

3

g) 4.(x – 7) = 3.(x + 3)

4x-28=3x+9

4x-3x=9+28

x=37

h) 5.(x – 4) = x – 16

5x-20=x -16

5x-x=-16+20

4x=4

x=4/4

x=1

i) 6.(x – 1) = 2x – 6

6x-6=2x-6

6x-2x=-6+6

4x=0

j) 4.(x – 4) = 2.(x + 3)

4x-4=2x+6

4x-2x=6+4

2x=10

x=10/2

x=5

espero ter ajudado !!!!!

estão todas certas !!!!!