Question

como resolve essas equações?

a) x/2+1=x/5+1/4
b) x/4+x/3=x-100
c) 2x/3+5x/6=1/2
d) x/5=21-x/2
e) 4/5+3x/4=1/10
f) 1/6-x/2= -2x/3+1/4

Irá me ajudar muito ^-^​

Answer 1

Resposta:

A) x/2 + 1 = x/5 + 1/4

(x + 2)/2 = (4x + 5)/20

x + 2 = 2 (4x + 5)/20

x + 2 = (4x + 5)/10

10(x + 2) = 4x + 5

10x + 20 = 4x + 5

6x = -15

x = -15/6

x = -5/2

B) x/4 + x/3 = x - 100 (× 12)

3x + 4x = 12x - 1200

7x - 12x = -1200

-5x = -1200

x = -1200/-5

x = 240

C) 2x/3 + 5x/6 = 1/2 (× 6)

4x + 5x = 3

9x = 3

x = 3/9

x = 1/3

D) x/5 = 21 - x/2 (× 10)

2x + 5x = 210

7x = 210

x = 210/7

x = 30

E) 1/6 - x/2 = -2x/3 + 1/4 (× 12)

2 - 6x = -8x + 3

-6x + 8x = 3 - 2

2x = 1

x = 1/2

Espero Ter Ajudado !!