Question

Equações de 1 grau
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Answer 1

01.

a) x + 6 = 10

x = 10 - 6 = 4

b) x - 7 = 3

x = 3 + 7 = 10

c) 2x +5 = 15

2x = 15 - 5

2x = 10

x = 10 /2 = 5

d) 5x - 9 = 11

5x = 11 + 9

5x = 20

x = 20/5 = 4

e) 2x + 2 = 20

2x = 20 - 2

2x = 18

x = 18/2 = 9

f) 3x - 7 = 2x + 2

3x -2x = 2 +7

x = 9

g) 3x +6 = -3x + 12

3x + 3x = 12 - 6

6x = 6

x = 6/6 = 1

h) 4a +7 = 2a +13

4a -2a = 13 -7

2a = 6

a = 6/2 = 3

i) 5r -3 = -r +15

5r + r = 15 +3

6r = 18

r = 18/6 = 3

j) x-4 = -3x +20

x + 3x = 20 +4

4x = 24

x = 24/4 = 6

k) 5.(x-2) = 3.(x-2)

5x - 10 = 3x - 6

5x -3x = -6 +10

2x = 4

x = 4/2 = 2

l) 2.(b-3) = b -2

2b -6 = b -2

2b -b = -2 +6

b = 4

m) 3.(x + 4) = 2.(x + 10)

3x +12 = 2x +20

3x - 2x = 20 - 12

x = 8

n) 4.(x-1) = 2.(x+4)

4x -4 = 2x +8

4x -2x = 8 + 4

2x = 12

x = 12/2 = 6

o) 5.(x+2) = 3.(x+5)

5x + 10 = 3x +15

5x -3x = 15 - 10

2x = 5

x = 5/2

02.

a) x + 10 = 12

x = 12 - 10

x = 2

b) 2x -5 = x +3

2x - x = 3 +5

x = 8

c) x + 8 = 12

x = 12 - 8

x = 4

d) 2x + 2(2x +2) = 28

2x + 4x + 4 = 28

6x = 28 -4

6x = 24

x = 24/6

x = 4

Largura = 2x = 2.4 = 8m

Comprimento = 4x + 4 = 4.4 +4 = 20m