Question

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1.Resolva as equações:
a)-3x-17=-21
b)2x-8=-7x
c)3x+2=2x-11
d)2x=16-(x-9)
e)7.(x-1)=2.(3x+1)
f)6-x=5x+1
g)-2x+14=5x-12
h)4x-5=-6x+15
i)5x-2x=6-3x
j)-5m-7-2m-2=0
k)-14t+9=-13t+50
l)-100+4-20x=-40x​

Answer 1

Resposta:

a) x = 4/3

b) x  = 8/9

c) x = - 13

d) x = 25/3

e) x = 9

f) x = 5/6

g) x = 26/7

h) x = 2

i) x = 1

j) m = -9/7

k) t = -41

l) x = 4,8

Explicação passo-a-passo:

a) -3x - 17 = -21

-3x = -21  + 17

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

3x = 4

x = 4/3

b) 2x - 8 = -7x

2x - 8 + 7x  = 0

2x + 7x  = 8

9x  = 8

x  = 8/9

c) 3x + 2 = 2x - 11

3x + 2 - 2x = - 11

3x - 2x = - 11  - 2

x = - 11  - 2

x = - 13

d) 2x = 16 - ( x - 9 )

2x = 16 - x + 9

2x + x = 16 + 9

3x = 16 + 9

3x = 25

x = 25/3

e) 7 . ( x - 1 ) = 2 . ( 3x + 1 )

7x - 7 = 6x + 2

7x - 7 - 6x = 2

7x - 6x = 2 + 7

x = 9

f) 6 - x = 5x + 1

6 - x - 5x = 1

-x - 5x = 1  - 6

-6x . ( -1 ) = -5 . ( -1 )

6x = 5

x = 5/6

g) -2x + 14 = 5x - 12

-2x + 14 - 5x = -12

-2x - 5x = -12  - 14

-7x . ( -1 ) = -26 . ( -1 )

7x = 26

x = 26/7

h) 4x - 5 = -6x + 15

4x - 5 + 6x = 15

4x + 6x = 15 + 5

10x = 20

x = 20/10

x = 2

i) 5x - 2x = 6 - 3x

5x - 2x + 3x  = 6

3x + 3x  = 6

6x  = 6

x  = 6/6

x = 1

j) -5m - 7 - 2m - 2 = 0

-7m - 7 - 2 = 0

-7m - 9 = 0

-7m . ( -1 ) = 9 . ( -1 )

7m = -9

m = -9/7

k) -14t + 9 = -13t + 50

-14t + 9 + 13t = 50

-14t + 13t = 50  - 9

-1t . ( -1 ) = 41 . ( -1 )

t = -41

l) -100 + 4 - 20x = -40x​

-100 + 4 - 20x + 40x​ = 0

-96 + 20x​ = 0

20x​ = 96

x​ = 96/20

x = 24/5

x = 4,8