4) Resolva as equações: (6,0) a) x – 3.(4 – x) = 7x – (1 – x) S = b) 3.(x + 2) = 2.(x – 7) S = c) 2.(x – 1) + 3.(x + 1) = 4.(x + 2) S = d) 3.(x + 1) + 2 = 5 + 2.(x – 1) S = e) 16x + 2.(7x + 8) – 9 = 67 S = f) 13.(2x – 3) – 5.(2 – x) = 5.(-3 + 6x) S =
Soluções para a tarefa
Resposta:
a)x= -11 / 4
b) x = -20
c) x = 7
d) x = - 2
e) x = 2
f) x = 34
Explicação passo-a-passo:
a) x – 3.(4 – x) = 7x – (1 – x)
x - 12 + 3x = 7x - 1 + x
4x - 8x = -1 + 12
-4x = 11 .(-1)
4x = -11
x= -11 / 4
b) 3.(x + 2) = 2.(x – 7)
3x + 6 = 2x - 14
3x - 2x = -14 - 6
x = -20
c) 2.(x – 1) + 3.(x + 1) = 4.(x + 2)
2x - 2 + 3x +3 = 4x + 8
5x - 4x = 8 -1
x = 7
d) 3.(x + 1) + 2 = 5 + 2.(x – 1)
3x + 3 + 2 = 5 + 2x - 2
3x - 2x = 3 - 5
x = - 2
e) 16x + 2.(7x + 8) – 9 = 67
16x + 14x + 16 - 9 = 67
30x = 67 - 7
x = 60/ 30
x = 2
f) 13.(2x – 3) – 5.(2 – x) = 5.(-3 + 6x)
26x - 39 - 10 + 5x = -15 + 30x
31x - 30x = -15 + 49
x = 34
Oie, Td Bom?!
a)
x - 3 . (4 - x) = 7x - (1 - x)
x - 12 + 3x = 7x - 1 + x
- 12 + 3x = 7x - 1
3x - 7x = - 1 + 12
- 4x = 11
x = 11/-4
x = - 11/4 ⇒ S = {- 11/4}
b)
3(x + 2) = 2(x - 7)
3x + 6 = 2x - 14
3x - 2x = - 14 - 6
x = - 20 ⇒ S = {- 20}
c)
2(x - 1) + 3(x + 1) = 4(x + 2)
2x - 2 + 3x + 3 = 4x + 8
5x + 1 = 4x + 8
5x - 4x = 8 - 1
x = 7 ⇒ S = {7}
d)
3(x + 1) + 2 = 5 + 2(x - 1)
3x + 3 + 2 = 5 + 2x - 2
3x + 5 = 3 + 2x
3x - 2x = 3 - 5
x = - 2 ⇒ S = {- 2}
e)
16x + 2(7x + 8) - 9 = 67
16x + 14x + 16 - 9 = 67
30x + 7 = 67
30x = 67 - 7
30x = 60
x = 60/30
x = 2 ⇒ S = {2}
f)
13(2x - 3) - 5(2 - x)= 5(- 3 + 6x)
26x - 39 - 10 + 5x = - 15 + 30x
31x - 49 = - 15 + 30x
31x - 30x = - 15 + 49
x = 34 ⇒ S = {34}
Att. Makaveli1996