Question

1.
Resolva as equações:
a)6x = 2x = 16
b) 5x + 7 = 4x + 10
c)5x = 3 + x = 2x + 9
d) 17x - 7x = x + 18
e) x + 2x + 3 - 5x = 4x - 9
5x + 4 = 3x - 2x + 4
g) 3(x - 2) = 2x - 4
h) 3(2x - 1) = -2(x+3)
i)×+×=7
5 2 10

j) ×+×=×+7
2 3 3​

Answer 1

1.

Resolva as equações:

a)6x = 2x = 16

6x + 2x = 16

8x = 16

x = 16/8

x = 2

ou

6x = 2x + 16

6x - 2x = 16

4x = 16

x = 16/4

x = 4

b) 5x + 7 = 4x + 10

5x + 7 = 4x + 10

5x - 4x = 10 - 7

x = 3

c) 5x = 3 + x = 2x + 9

5x = 3 + x + 2x + 9

5x - x - 2x = 3 + 9

2x = 12

x = 12/2

x = 6

ou

5x + 3 + x = 2x + 9

5x + x - 2x = 9 - 3

6x - 2x = 6

4x = 6

x = 6/4

x = 1,5

d) 17x - 7x = x + 18

17x - 7x = x + 18

10x - x = 18

9x = 18

x = 18/9

x = 2

e) x + 2x + 3 - 5x = 4x - 9

x + 2x + 3 - 5x = 4x - 9

3 + 9 = 4x + 5x - 2x - x

12 = 9x - 2x - x

12 = 7x - x

12 = 6x

12/6 = x

2 = x

f) 5x + 4 = 3x - 2x + 4

5x + 4 = 3x - 2x + 4

5x - 3x + 2x = 4 - 4

4x = 0

x = 0/4

x = 0

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

3(x - 2) = 2x - 4

3x - 6 = 2x - 4

3x - 2x = -4 + 6

x = 2

h) 3(2x - 1) = -2(x+3)

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

6x - 3 = -2x -6

6x + 2x = -6 + 3

8x = 3

x = 3/8

x = 0,375

i)×+×=7

5 2 10

5 + 2 = 7

7 = 7

ou

x + x = 7

2x = 7

x = 7/2

x = 3,5

j) ×+×=×+7

2 3 3​

x + x = x + 7

2x - x = 7

x = 7

Espero ter ajudado!! -zCM