Question

resolva as equações abaixo:
a) 2x - 6 = - X + 15

b) 18x - 43 =65

c) 586 + 2x =832

d) 23x -16 = 14 -17x

e) 2 (X -3) -4x = -3x -8

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

g) 4. (x + 3) - X = 24 + x

Answer 1

a) 2x-6 = -x+15
 2x+x= 15+6
3x= 21
x= 21/3 = 7

B) 18x-43=65
18x= 65+43
x= 108/18 = 6

C)586+2x= 832
2x= 832-586
x= 246/2 = 123

D)23x-16=14-17x
23x+17x= 14+16
40x= 30
x= 30/40 = 0,75

E)2(x-3) -4x = 3x-8
2x-6-4x= 3x -8
2x-4x= -8 +6
-2x= -2 como a incógnita não pode ficar negativa multiplica-se por (-1)
x= 2/2 = 1

F)10y-5 (1+y)= 3 (2y-2)-20
10y -5 -5y= 6y-6-20
10y-5y-6y= -6-20-5
10y-11y= -31
-1y= -31     . (-1)
y= 31/1 = 31

G) 4.(x+3)-x = 24 + x
    4x+12 -x = 24 + x
  4x - x = 24 -12
3x= 12
x = 12/3 = 4





 

Answer 2

a) 2x - 6 = -x +15
2x+x = 15 + 6
3x = 21
x = 21/3
x = 7

b) 18x - 43 = 65
18x = 65 + 43
18x = 108
x = 108/18
x = 6

c) 586 + 2x = 832
2x = 832 - 586
2x = 246
x = 246/2
x = 123

d) 23x - 16 = 14 - 17x
23x + 17x = 14 + 16
40x = 30
x = 30/40
x = 0,75

e) 2 (x-3) -4x = -3x - 8
2x - 6 - 4x = -3x - 8
2x - 4x + 3x = -8 + 6
1x = -2
x = -2/1
x = -2 (.-1)
x = 2

f) 10y - 5 (1+y) = 3 (2y-2) -20
10y - 5 - 5y = 6y - 6 - 20
10y - 5y - 6y = -6 - 20 + 5
-1y = -20
y = -20/-1
y = -20 (.-1)
y = 20

g) 4 (x+3) - x = 24 + x
4x + 12 - x = 24 + x
4x - x - x = 24 - 12
2x = 12
x = 12/2
x = 6