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
d) 100x + 80 = 120x - (40x - 300)
8x
- x - 3 =
11
100x + 80 = 120x -40x + 300
8x
- x = 11 +
3
100x - 120x + 40x = 300 - 80
7x = 14 140x
-120x = 220
x =
14/7
20x = 220
x =
14/7
x = 220/20
x =
2 → S =
[2}
x = 11
S = {11}
--------------------------------------------------------------------------------------------------------------------------------
.
e) 9 -
3(2x - 8) + 2(4 - 5x) = 20 - (5 + 2x) f) 50x
+ 200 = 20(x - 4) + 100
9 - 6x +
24 + 8 -10x = 20 - 5 -
2x
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
14x =
26
x = -180/30
x =
26/14
x = - 6
x =
13/7 → S =
{13/7}
S = {- 6}
--------------------------------------------------------------------------------------------------------------------------------
g) 14t -
9 - 3t = 2t +
36
h) 6m + 3(10 - 4m) = 25 + 8m
14t - 3t - 2t = 36 +
9
6m + 30 - 12m = 25 + 8m
14t - 5t =
45
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 equações 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
.
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
.
-
3x = - 33
.
3x = 33
.
x = 33/3
.
x = 11
.
S = {11}