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
Respostas
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