Question

8) Resolva as equações:
a) 20x - 4 = 5x
c) 4x = -8x + 36
d) 2 + 3[x - (3x + 1)] = 5[x - (2x - 1)]
e) 4(x - 3) = 2x - 5
4x - 10 = 2x + 2 -
g)18X - 43 = 65
h) 23x - 16 = 14 - 17x
D) 10Y - 5 (1 + y) = 3 (2Y - 2) - 20​

Answer 1

Resposta:

a) 20x - 4 = 5x

20x - 5x = 4

15x = 4

x = 4/15

c) 4x = -8x + 36

8x + 4x = 36

12x = 36

x = 36/12= 3

d) 2 + 3[x - (3x + 1)] = 5[x - (2x - 1)]

2 + 3[x - 3x - 1] = 5[x - 2x + 1]

2 + 3[ -2x - 1] = 5[ -x + 1]

2 - 6x - 3 = -5x + 5

5x - 6x = 5 - 2 + 3

-1x = 6

x = 6/-1= -6

e) 4(x - 3) = 2x - 5

4x - 12 = 2x - 5

-2x + 4x = - 5 + 12

2x = 7

x = 7/2

f) 4x - 10 = 2x + 2

-2x + 4x = 2 + 10

2x = 12

x = 12/2= 6

g) 18X - 43 = 65

18x = 65 + 43

x = 108/18

h) 23x - 16 = 14 - 17x

17x + 23x = 14 + 16

40x = 30

x = 30/40

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

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

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

-1y = -26 + 5

-1y = -21

y = -21/-1= -21