Me Ajude '-'
Determine a Raiz de Cada Equação i)5m-7-2m-2=0
j)y-8+5y=-3+2y+7
l)-10+4-2x=-4x-7
m)10x-8-2=7x-4
n)3.(x+2)+5=x+12
o)x+4. (x-1)=9-2. (x+3)
p)5. (3x-1)+2. (3-1)
q)2.(3x1)+2.(3x+1)
r)7. (x-1)=2.(3x+1)
s)2. (3-y)+7.(2-y)15-4y
t)2.(x-2)+5. (2-x)+6. (x+1)=0
u)3. (x-2)-(1-x)=13
v)x-(x+1)=12-(3x-2)
x)x/2=12/3
y)2x/3+1/2=x/4-3/2
Soluções para a tarefa
Respondido por
7
i)
5m - 7 - 2m - 2 = 0
5m - 2m - 7 - 2 = 0
3m - 9 = 0
3m = 9
m = 9/3
m = 3
********************************
j)
y - 8 + 5y = - 3 + 2y + 7
y + 5y - 8 = 7 - 3 + 2y
6y - 8 = 4 + 2y
6y - 2y = 4 + 8
4y = 12
y = 12/4
y = 3
*************************************
l)
-10 + 4 - 2x = - 4x - 7
- 6 - 2x = - 4x - 7
- 6 + 7 = - 4x + 2x
1 = - 2x
- 2x = 1 (-1)
2x = - 1
x = - 1/2
******************************
m)
10x - 8 - 2 = 7x - 4
10x - 10 = 7x - 4
10x - 7x = - 4 + 10
3x = 6
x = 6/3
x = 2
******************************
n)
3.(x + 2) + 5 = x + 12
3x + 6 + 5 = x + 12
3x + 11 = x + 12
3x - x = 12 - 11
2x = 1
x = 1/2
************************************
o)
x + 4.(x - 1) = 9 - 2.(x + 3)
x + 4x - 4 = 9 - 2x - 6
5x - 4 = 3 - 2x
5x + 2x = 3 + 4
7x = 7
x = 7/7
x = 1
**********************************
p)
5.(3x - 1) = 2.(3 - 1)
15x - 5 = 2.4
15x - 5 = 8
15x = 8 + 5
15x = 13
x = 13/15
********************************
q)
2.(3x - 1) = 2.(3x + 1)
6x - 2 = 6x + 2
6x - 6x = 2 + 2
0 = 4 (não existe)
********************************
r)
7.(x - 1) = 2.(3x + 1)
7x - 7 = 6x + 2
7x - 6x = 2 + 7
x = 9
********************************
s)
2. (3 - y) + 7.(2 - y) = 15 - 4y
6 - 2y + 14 - 7y = 15 - 4y
6 + 14 - 7y - 2y = 15 - 4y
20 - 9y = 15 - 4y
20 - 15 = 9y - 4y
5 = 5y
5y = 5
y = 5/5
y = 1
********************************************
t)
2.(x - 2) + 5.(2 - x) + 6.(x + 1) = 0
2x - 4 + 10 - 5x + 6x + 6 = 0
2x + 6 + x + 6 = 0
2x + x + 6 + 6 = 0
3x + 12 = 0
3x = - 12
x = - 12/3
x = - 4
*********************************
u)
3.(x - 2) - (1 - x) = 13
3x - 6 - 1 + x = 13
3x + x - 7 = 13
4x = 13 + 7
4x = 20
x = 20/4
x = 5
************************************
v)
x - (x + 1) = 12 - (3x - 2)
x - x - 1 = 12 - 3x + 2
- 1 = 14 - 3x
3x = 14 + 1
3x = 15
x = 15/3
x = 5
************************
x)
x/2=12/3
x = 12
----- ------
2 3
x 4
---- =
2
x = 2.4
x = 8
*********************************
y)
2x/3+1/2=x/4-3/2
2x + 1 = x - 3
----- ---- ------ ----
3 2 4 2
2x - x = - 3 - 1
----- ----- ----- -----
3 4 2 2
2x - x = - 4
----- ---- ------
3 4 2
2x - x = - 2
---- -----
3 4
4.2x - 3x = - 2.12
------------- ----------
12 12
8x - 3x = - 24
5x = - 24
x = - 24
------
5
5m - 7 - 2m - 2 = 0
5m - 2m - 7 - 2 = 0
3m - 9 = 0
3m = 9
m = 9/3
m = 3
********************************
j)
y - 8 + 5y = - 3 + 2y + 7
y + 5y - 8 = 7 - 3 + 2y
6y - 8 = 4 + 2y
6y - 2y = 4 + 8
4y = 12
y = 12/4
y = 3
*************************************
l)
-10 + 4 - 2x = - 4x - 7
- 6 - 2x = - 4x - 7
- 6 + 7 = - 4x + 2x
1 = - 2x
- 2x = 1 (-1)
2x = - 1
x = - 1/2
******************************
m)
10x - 8 - 2 = 7x - 4
10x - 10 = 7x - 4
10x - 7x = - 4 + 10
3x = 6
x = 6/3
x = 2
******************************
n)
3.(x + 2) + 5 = x + 12
3x + 6 + 5 = x + 12
3x + 11 = x + 12
3x - x = 12 - 11
2x = 1
x = 1/2
************************************
o)
x + 4.(x - 1) = 9 - 2.(x + 3)
x + 4x - 4 = 9 - 2x - 6
5x - 4 = 3 - 2x
5x + 2x = 3 + 4
7x = 7
x = 7/7
x = 1
**********************************
p)
5.(3x - 1) = 2.(3 - 1)
15x - 5 = 2.4
15x - 5 = 8
15x = 8 + 5
15x = 13
x = 13/15
********************************
q)
2.(3x - 1) = 2.(3x + 1)
6x - 2 = 6x + 2
6x - 6x = 2 + 2
0 = 4 (não existe)
********************************
r)
7.(x - 1) = 2.(3x + 1)
7x - 7 = 6x + 2
7x - 6x = 2 + 7
x = 9
********************************
s)
2. (3 - y) + 7.(2 - y) = 15 - 4y
6 - 2y + 14 - 7y = 15 - 4y
6 + 14 - 7y - 2y = 15 - 4y
20 - 9y = 15 - 4y
20 - 15 = 9y - 4y
5 = 5y
5y = 5
y = 5/5
y = 1
********************************************
t)
2.(x - 2) + 5.(2 - x) + 6.(x + 1) = 0
2x - 4 + 10 - 5x + 6x + 6 = 0
2x + 6 + x + 6 = 0
2x + x + 6 + 6 = 0
3x + 12 = 0
3x = - 12
x = - 12/3
x = - 4
*********************************
u)
3.(x - 2) - (1 - x) = 13
3x - 6 - 1 + x = 13
3x + x - 7 = 13
4x = 13 + 7
4x = 20
x = 20/4
x = 5
************************************
v)
x - (x + 1) = 12 - (3x - 2)
x - x - 1 = 12 - 3x + 2
- 1 = 14 - 3x
3x = 14 + 1
3x = 15
x = 15/3
x = 5
************************
x)
x/2=12/3
x = 12
----- ------
2 3
x 4
---- =
2
x = 2.4
x = 8
*********************************
y)
2x/3+1/2=x/4-3/2
2x + 1 = x - 3
----- ---- ------ ----
3 2 4 2
2x - x = - 3 - 1
----- ----- ----- -----
3 4 2 2
2x - x = - 4
----- ---- ------
3 4 2
2x - x = - 2
---- -----
3 4
4.2x - 3x = - 2.12
------------- ----------
12 12
8x - 3x = - 24
5x = - 24
x = - 24
------
5
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