Question

MATEMÁTICA- EQUAÇÕES ME AJUDEM AE POR FAVOR 'ω'

2) Resolva as equações seguintes, sendo u=Q:

a) 3x-1 = x+3
b) 5x+2 - x-10
c) 2x-7 = 4x+3
d) 6x+1/2 = 2x-3/2
e) 4x-5 = 8x-6
f) 6-3x = x-2
g) x+1 = 2x-3
h) 9x-4 = 10-12x
i) 1+5x = x-1
j) 8-5x = -2x+1
k) x/5 = 2

Answer 1

a) 3x-1 = x+3

3x -1 - x = 3

2x - 1 = 3

2x = 3 + 1

2x = 4

x = 4/2

 $\blue {x = 2}$

.

b) 5x+2 - x-10

4x + 2 - 10

 $\blue {4x - 8}$

.

c) 2x-7 = 4x+3

2x - 7 - 4x = 3

-2x - 7 = 3

-2x = 3 + 7

-2x = 10

x = 10/-2

 $\blue {x = -5}$

.

d) 6x+1/2 = 2x-3/2

6x+1/2 - 2x- = 3/2

4x + 1/2 = - 3/2

4x = -3/2 - 1/2

4x = -3-1/2

4x = -4/2

4x = -2

x = -2/4

 $\blue {x =- 1/2}$

.

e) 4x-5 = 8x-6

4x - 5 - 8x = - 6

-4x - 5 = - 6

-4x = -6 + 5

-4x = -1

x = -1/-4

 $\blue {x = 1/4}$

.

f) 6-3x = x-2

6 - 3x - x = -2

6 - 4x = -2

-4x = -2-6

-4x = -8

x = -8/-4

 $\blue {x = 2}$

.

g) x+1 = 2x-3

x + 1 - 2x = -3

-x + 1 = -3

-x = -3-1

-x = -4

 $\blue {x = 4}$

.

h) 9x-4 = 10-12x

9x - 4 + 12x = 10

21x - 4 = 10

21x = 10 + 4

21x = 14

x = 14/21

 $\blue {x = 2/3}$

.

i) 1+5x = x-1

1 + 5x - x = -1

1 + 4x = -1

4x = -1 -1

4x = -2

x = -2/4

 $\blue {x =- 1/2}$

.

j) 8-5x = -2x+1

8 - 5x + 2x = 1

8 - 3x = 1

-3x = 1 - 8

-3x = -7

x = -7/-3

 $\blue {x = 7/3}$

.

k) x/5 = 2

x = 2 x 5

 $\blue {x = 10}$

.

Espero ter ajudado !!

Answer 2

Resposta:

Explicação passo-a-passo:

2) Resolva as equações seguintes, sendo u=Q:

a)

3x-1 = x+3

3x - x = 3+1

2x = 4

X = 4/2

X = 2

_______________

b)

5x+2 = - x-10

5x + x = -10-2

6x = - 12

X = - 12/6

X = - 2

___________

c)

2x-7 = 4x+3

-7-3 = 4x - 2x

- 10 = 2x

2x = - 10

X = - 10/2

X = - 5

___________

d)

6x+1/2 = 2x-3/2

6x - 2x = -3/2 - 1/2

4x = - 4/2

4x = - 2 (:2)

2x = - 1

X = - 1/2

___________

e)

4x-5 = 8x-6

-5+6 = 8x - 4x

1 = 4x

4x = 1

X = 1/4

____________

f)

6-3x = x-2

6+2 = x + 3x

4 = 4x (:4)

1 = x

X = 1

_____________

g)

x+1 = 2x-3

1+3 = 2x - x

4 = x

x = 4

___________

h)

9x-4 = 10-12x

9x + 12x = 10+4

21x = 14 (:7)

3X = 2

X = 2/3

___________

i)

1+5x = x-1

5x - x = - 1 - 1

4x = - 2 (:2)

2x = - 1

X = - 1/2

____________

j)

8-5x = -2x+1

8-1 = 5x - 2x

7 = 3x

3x = 7

x = 7/3

_________

k) x/5 = 2

X = 5.2

X = 10