Me ajude:
a)3x - 1 = x - 2
5 2 5
b)y+3=2x-1
4 6 3
Usuário anônimo:
quais são as frações?
Soluções para a tarefa
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a)
3x - 1 = x - 2
---- --- ----
5 2 5
mmc (2,5) = 10
2.3x - 5.1 10x - 2.2
-------------- = ---------------
10 10
6x - 5 = 10x - 4
- 5 + 4 = 10x - 6x
- 1 = 4x
4x = - 1
x = - 1
------
4
*******************************
b)
y + 3 = 2y - 1
----- ------ -----
4 6 3
12y + 3.3 2.2y - 4.1
-------------- = ---------------
12 12
12y + 9 = 4y - 4
12y - 4y = - 4 - 9
8y = - 13
y = - 13
-------
8
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
Obs.: mmc (4,6,3) = 12
4,6,3: 2
2,3,3: 2
1,3,3: 3
-----------------
1,1,1 = 2.2.3 = 4.3 = 12
3x - 1 = x - 2
---- --- ----
5 2 5
mmc (2,5) = 10
2.3x - 5.1 10x - 2.2
-------------- = ---------------
10 10
6x - 5 = 10x - 4
- 5 + 4 = 10x - 6x
- 1 = 4x
4x = - 1
x = - 1
------
4
*******************************
b)
y + 3 = 2y - 1
----- ------ -----
4 6 3
12y + 3.3 2.2y - 4.1
-------------- = ---------------
12 12
12y + 9 = 4y - 4
12y - 4y = - 4 - 9
8y = - 13
y = - 13
-------
8
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
Obs.: mmc (4,6,3) = 12
4,6,3: 2
2,3,3: 2
1,3,3: 3
-----------------
1,1,1 = 2.2.3 = 4.3 = 12
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