Question

Calcule o valor de X nas proporções: a)5+x/8+x=3/4 b)x+2/3-x=4/1 c) 2+x/4=x/3 d) x-1/6=9/12 e) x-1/4=x/6 F) 5-x/x+1=6/2

Answer 1

a)(5+x)/(8+x)=3/4
(5+x)*4 = (8+x)*3
20 + 4x = 24 + 3x
4x -3x = 24 - 20
x = 4

b)(x+2)/(3-x)=4/1
(x+2)*1 = (3-x)*4
x+2 = 12 -4x
x +4x = 12 -2
5x = 10
x = 10/5
x=2

c) (2+x)/4=x/3
(2+x)*3 = x*4
6 +3x = 4x
3x -4x = -6
-x = -6
x = 6

d) (x-1)/6=9/12
(x-1)*12 = 9*6
12x -12 = 54
12x = 54-12
12x = 42
x = 42/12
x = 7/2

e) (x-1)/4=x/6
(x-1)*6 = x*4
6x -6 = 4x
6x -4x = 6
2x = 6
x = 6/2
x = 3

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