Question

1-Encontre o valor de X.
a) 2x - 8 = 3x - 10
b) 24x - 16 = 20x - 5
c) 2n +5 = 155
d)18X - 43 = 65
e) 23x - 16 = 14 - 17x
f) 10Y - 5 (1 + y) = 3 (2Y - 2) - 20
g) x(x + 4) + x(x + 2) = 2x 2 + 12
h) (X - 5)/10 + (1 - 2x)/5 = (3-X)/4
i) 4x (x + 6) - x 2 = 5x 2
preciso muito da ajuda de vcs​

Answer 1

Explicação passo-a-passo:

a)

2x - 8 = 3x - 10

3x - 2x = -8 + 10

x = 2

b)

24x - 16 = 20x - 5

24x - 20x = -5 + 16

4x = 11

x = 11/4

c)

2n + 5 = 155

2n = 155 - 5

2n = 150

n = 150/2

n = 75

d)

18x - 43 = 65

18x = 65 + 43

18x = 108

x = 108/18

x = 6

e)

23x - 16 = 14 - 17x

23x + 17x = 14 + 16

40x = 30

x = 30/40

x = 3/4

f)

10y - 5.(1 + y) = 3.(2y - 2) - 20

10y - 5 - 5y = 6y - 6 - 20

5y - 5 = 6y - 26

6y - 5y = -5 + 26

y = 21

g)

x.(x + 4) + x.(x + 2) = 2x² + 12

x² + 4x + x² + 2x = 2x² + 12

2x² + 6x = 2x² + 12

2x² - 2x² + 6x = 12

6x = 12

x = 12/6

x = 2

h)

(x - 5)/10 + (1 - 2x)/5 = (3 - x)/4

2.(x - 5) + 4.(1 - 2x) = 5.(3 - x)

2x - 10 + 4 - 8x = 15 - 5x

-6x - 6 = 15 - 5x

6x - 5x = -6 - 15

x = -21

i)

4x.(x + 6) - x² = 5x²

4x² + 24x - x² = 5x²

3x² + 24x = 5x²

5x² - 3x² - 24x = 0

2x² - 24x = 0

2x.(x - 12) = 0

• 2x = 0

x = 0/3

x' = 0

• x - 12 = 0

x" = 12