Question

1. Determine o conjunto solução de cada equação do 1° grau abaixo:
a) 5x - 17 = 3x + 79
b) 5x - 12 + 17 = - 6x + 49
c) - 3x - 21 = 33
d) - 21 + 2x + 13 = - 3x + 4x + 80
e) 3x + 21 = 5x - 17
f) 4.( 3x + 25) = 148
g) 2.(x + 5) - 3.(2x - 2) = 52
h) 16x + 2-15 = 9
i) 3.(3x - 1) +2.(2x + 7) = 61 + 3x
j) - 4(x – 3) + 2.( x + 3) = -x + 25​

Answer 1

a) 5x - 17 = 3x + 79

5x - 3x = 79 + 17

2x = 96

x = 96/2

x = 48

b) 5x - 12 + 17 = -6x + 49

5x + 5 = -6x + 49

5x + 6x = -49 - 5

11x = 44

x = 44/11

x = 4

c) -3x - 21 = 33

-3x = 33 + 21

-3x = 54 (-1)

3x = -54

x = - 54/3

x = -18

d) -21 + 2x + 13 = -3x + 4x + 80

-8 + 2x = x + 80

2x - x = 80 + 8

x = 88

e) 3x + 21 = 5x - 17

3x - 5x = -17 + 21

-2x = -38 (-1)

2x = 38

x = 38/2

x = 19

f) 4(3x + 25) = 148

12x + 100 = 148

12x = 148 - 100

12x = 48

x = 48/12

x = 4

g) 2(x + 5) - 3(2x - 2) = 52

2x + 10 - 6x + 6 = 52

-4x + 16 = 52

-4x = 52 - 16

-4x = 36 (-1)

4x = -36

x = - 36/4

x = -9

h) 16x + 2 - 15 = 9

16x - 13 = 9

16x = 9 + 13

16x = 22

x = 22/16

x = 11/8 = 1,375

i) 3(3x - 1) + 2(2x + 7) = 61 + 3x

9x - 3 + 4x + 14 = 61 + 3x

13x + 11 = 61 + 3x

13x - 3x = 61 - 11

10x = 50

x = 50/10

x = 5

j) -4(x - 3) + 2(x + 3) = -x + 25

-4x + 12 + 2x + 6 = -x + 25

-2x + 18 = -x + 25

-2x + x = 25 - 18

-x = 7 (-1)

x = -7