considerando U=Q,determine a soluçao das equaçoes a seguir.
a) 4x + 13 = x - 17
b)x + 1 1 - x
------ = --------
3 2
c)3(y - 5)= 25 + 2y
d) 3x - 4
--------- = 8 + 2x
5
e) y 1 (6-y)
-- - --- = -------
3 5 2
f)2z - 5z = z + 8
5
perfeita13:
ninguem
Soluções para a tarefa
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a)
4x + 13 = x - 17
4x - x = - 17 - 13
3x = - 30
x = - 30/3
x = - 10
--------------------------------------------------
b)
x + 1 = 1 - x
3 2
2.(x + 1) = 3(1 - x)
2x + 2 = 3 - 3x
2x + 3x = 3 - 2
5x = 1
x = 1/5
-------------------------------------
c)
3(y - 5)= 25 + 2y
3y - 15 = 25 + 2y
3y - 2y = 25 + 15
y = 40
--------------------------------------
d)
3x - 4 = 8 + 2x
5
3x - 4 = 5.(8 + 2x)
3x - 4 = 40 + 10x
- 4 - 40 = 10x - 3x
- 44 = 7x
7x = - 44
x = - 44/7
----------------------------------------
e)
y - 1 = (6 - y)
3 5 2
10y - 6 = 15(6 - y)
30 30
10y - 6 = 90 - 15y
10y + 15y = 90 + 6
25y = 96
y = 96/25
---------------------------
mmc = 30
3,5,2: 2
3,5,1: 3
1,5,1: 5
1,1,1 = 2.3.5 = 30
------------------------------------------------
f)
2z - 5z = z + 8
- 3z = z + 8
- 8 = z + 3z
- 8 = 4z
4z = - 8
z = - 8/4
z = - 2
4x + 13 = x - 17
4x - x = - 17 - 13
3x = - 30
x = - 30/3
x = - 10
--------------------------------------------------
b)
x + 1 = 1 - x
3 2
2.(x + 1) = 3(1 - x)
2x + 2 = 3 - 3x
2x + 3x = 3 - 2
5x = 1
x = 1/5
-------------------------------------
c)
3(y - 5)= 25 + 2y
3y - 15 = 25 + 2y
3y - 2y = 25 + 15
y = 40
--------------------------------------
d)
3x - 4 = 8 + 2x
5
3x - 4 = 5.(8 + 2x)
3x - 4 = 40 + 10x
- 4 - 40 = 10x - 3x
- 44 = 7x
7x = - 44
x = - 44/7
----------------------------------------
e)
y - 1 = (6 - y)
3 5 2
10y - 6 = 15(6 - y)
30 30
10y - 6 = 90 - 15y
10y + 15y = 90 + 6
25y = 96
y = 96/25
---------------------------
mmc = 30
3,5,2: 2
3,5,1: 3
1,5,1: 5
1,1,1 = 2.3.5 = 30
------------------------------------------------
f)
2z - 5z = z + 8
- 3z = z + 8
- 8 = z + 3z
- 8 = 4z
4z = - 8
z = - 8/4
z = - 2
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