Question

resolva as equações do 1 grau sendo u=q alguém pode me ajudar
7(2q-1)-3(2-q)+5(q+4)=7
4(2m-1)-3m=2(4m-1)-(2-m)
13-7x=17
4(x-2)-2(x-1)=4
8(10-m)=5(m+3)
3(1-y)-2(y+1)=9(y-1)+3
11x-3-7x-2+2x-4=2x+1
2z-[3-z-(1-5z)]=6

Answer 1

a)

7.(2q - 1) - 3.(2 - q) + 5(q + 4) = 7
14q - 7 - 6 + 3q + 5q + 20 = 7
14q - 13 + 8q + 20 = 7
14q + 8q - 13 + 20 = 7
22q + 7 = 7
22q = 7 - 7
22q = 0
q = 0/22
q = 0

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b)

4.(2m - 1) - 3m = 2.(4m - 1) - (2 - m)
8m - 4 - 3m = 8m - 2 - 2 + m
5m - 4 = 9m - 4
- 4 + 4 = 9m - 5m
0 = 4m
4m = 0
m = 0/4
m = 0
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
c)

8m - 4 - 3m = 8m - 2 - 2 + m

5m - 4 = 9m - 4

- 4 + 4 = 9m - 5m

0 = 4m

4m = 0

m = 0/4

m = 0
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d)

13 - 7x = 17
13 - 17 = 7x
- 4 = 7x
7x = - 4
x = - 4/7
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e)

4.(x - 2) - 2.(x - 1) = 4
4x - 8 - 2x + 2 = 4
4x - 2x - 8 + 2 = 4
2x - 6 = 4
2x = 4 + 6
2x = 10
x = 10/2
x = 5
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f)

8(10-m)=5(m+3)
80 - 8m = 5m + 15
80 - 15 = 5m + 8m
65 = 13m
13m = 65
m = 65/13
m = 5
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g)

3(1 - y) - 2(y + 1) = 9(y - 1) + 3

3 - 3y - 2y - 2 = 9y - 9 + 3

3 - 5y - 2 = 9y - 6
1 - 5y = 9y - 6
1 + 6 = 9y + 5y
7 = 14y
14y = 7
y = 7/14
y =  7  (:7)        1
      ----        =  ----
      14  (:7)        2

y = 1/2

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h)

11x - 3 - 7x - 2 + 2x - 4 = 2x + 1
11x - 7x + 2x - 3 - 2 - 4 = 2x + 1
4x + 2x - 5 - 4 = 2x + 1
6x - 9 = 2x + 1
6x - 2x = 1 + 9
4x = 10
x = 10  (:2)         5
     ------        =  -----
        4  (:2)         2

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j)

2z - [3 - z - (1 - 5z)] = 6

2z - [3 - z - 1 + 5z] = 6

2z - [3 - 1 - z + 5z] = 6

2z - [ 2 + 4z] = 6

2z - 2 - 4z = 6

- 2z - 2 = 6
- 2 - 6 = 2z
- 8 = 2z
2z = - 8
z = - 8/2
z = - 4

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