Question

1)resolva as equações:

a)3-(3x-6)=2x+(4-x)
b)4.(x-2)=4+2.(x-1)
c)7x-3.(x-2)=3.(x+4)
d)2.(y-2)+5.(2-y)=-3.(2y+2)
e)2.(1-t)+1=3.(t-3)-2t
f)5.(m+1)-3.(2m+1)=4.(5-m)

Answer 1

a) 3 - (3x-6) = 2x + (4-x)
3 - 3x + 6 = 2x + 4 - x
- 3x - 2x + x = 4 - 3 - 6
- 5x + x = 1 - 6
- 4x = - 5 .(-1)
4x = 5
x = 5/4

b) 4(x-2) = 4 + 2(x-1)
4x - 8 = 4 + 2x - 2
4x - 2x = 4 - 2 + 8
2x = 2 + 8
2x = 10
x = 10/2
x = 5

c) 7x - 3(x-2) = 3(x+4)
7x - 3x + 6 = 3x + 12
7x - 3x -3x = 12 - 6
4x - 3x = 6
x = 6

d) 2(y-2) + 5(2-y) = -3(2y+2)
2y - 4 + 10 - 5y = - 6y - 6
2y - 5y + 6y = - 6 + 4 - 10
- 3y + 6y = - 2 - 10
3y = - 12
y = - 12/3
y = 4

e) 2(1-t) + 1 = 3(t-3) - 2t
2 - 2t + 1 = 3t - 9 - 2t
- 2t - 3t + 2t = - 9 - 2 -1
- 5t + 2t = - 11 - 1
- 3t = - 12 .(-1)
3t = 12
t = 12/3
t = 4

f) 5(m+1) - 3(2m+1) = 4(5-m)
5m + 5 - 6m - 3 = 20 - 4m
5m - 6m + 4m = 20 - 5 + 3
- m + 4m = 15 + 3
3m = 18
m = 18/3
m = 6