1. Seg, 27 de Setembro de 2010 15:11
1) Resolva as equações abaixo:
a) 2x - 6 = - x + 15
b) 2(x - 3) - 4x = - 3x - 8
2x + x = 15 + 6
2x - 6 - 4x = - 3x - 8
3x = 21
2x - 4x + 3x = - 8 + 6
x = 21/3
x=-2
x=7
x=-2
S = {7}
S = {-2}
-------------------------------------------------------------------------------------------------------------------------------c) 8x - (x + 3) = 11
8x - x - 3 = 11
8x - x = 11 + 3
7x = 14
x = 14/7
x = 14/7
x = 2 → S = [2}
d) 100x + 80 = 120x - (40x - 300)
100x + 80 = 120x -40x + 300
100x - 120x + 40x = 300 - 80
140x -120x = 220
20x = 220
x = 220/20
x = 11
S = {11}
-------------------------------------------------------------------------------------------------------------------------------.
e) 9 - 3(2x - 8) + 2(4 - 5x) = 20 - (5 + 2x)
9 - 6x + 24 + 8 -10x = 20 - 5 - 2x
f) 50x + 200 = 20(x - 4) + 100
50x + 200 = 20x - 80 + 100
-6x - 10x + 2x = 20 - 5 - 9 - 24 - 8
50x - 20x = - 80 + 100 -200
- 16x + 2x = 20 - 46
30x = -280 + 100
- 14x = - 26 . (-1)
30x = - 180

2. 14x = 26
x = -180/30
x = 26/14
x=-6
x = 13/7 → S = {13/7}
S = {- 6}
-------------------------------------------------------------------------------------------------------------------------------g) 14t - 9 - 3t = 2t + 36
14t - 3t - 2t = 36 + 9
14t - 5t = 45
h) 6m + 3(10 - 4m) = 25 + 8m
6m + 30 - 12m = 25 + 8m
6m - 12m - 8m = 25 - 30
9t = 45
6m - 20m = - 5
t = 45/9
- 14m = -5
t=5
14m = 5
S = {5}
m = 5/14 → S = {5/14}
--.------------------------------------------------------------------------------------------------------------------------------2) Resolva as equaçoes abaixo em R.
3x
x - 10
x+1
a) ——— - ——— = ————
2
8
4
.
8(3x) 2(x - 10) 4(x + 1)
——— - ——— = ————
16
16
16
.
8(3x) -2(x - 10) = 4(x + 1)
.
24x - 2x + 20= 4x + 4

3. .
24x - 2x - 4x = 4- 20
.
18x = - 16
.
x = - 16/18
.
x = - 8/ 9
.
S = {-8/9}
-------------------------------------------------------------------------------------------------------------------------------x+6
2x - 3
x-1
b) ——— - ——— = ————
3
6
4
.
4(x + 6)
2(2x - 3)
3(x - 1)
————— - ————— = ————
12
12
12
.
4(x + 6) - 2(2x - 3) = 3(x - 1)
.
4x + 24 - 4x + 6 = 3x - 3
.
4x - 4x - 3x = - 3 - 24 - 6
.

4. - 3x = - 33
.
3x = 33
.
x = 33/3
.
x = 11
.
S = {11}