Question

01. Resolva as equações abaixo , conforme os exemplos; a) 6x =2x + 16 b) 2x - 5 = x + 1 c) 2x + 3 = x + 4 d) 5x + 7 = 4x + 10

Answer 1

Resposta:

$6x =2x + 16\\\\6x-2x=2x+16-2x\\\\4x=16\\\\\frac{4x}{4}=\frac{16}{4}\\\\x=4\\\\\\\\2x - 5 = x + 1\\\\2x-5+5=x+1+5\\\\2x=x+6\\\\2x-x=x+6-x\\\\x=6\\\\\\\\2x + 3 = x + 4\\\\2x+3-3=x+4-3\\\\2x=x+1\\\\2x-x=x+1-x\\\\x=1\\\\\\\\5x + 7 = 4x + 10\\\\5x+7-7=4x+10-7\\\\5x=4x+3\\\\5x-4x=4x+3-4x\\\\x=3$

Answer 2

a)6x=2x + 16

6x – 2x = 2x+ 16 – 2x

4x =16

$\frac{4 \times }{4} = \frac{16}{4}$

$x = 4$

b)2x – 5 = x +1

2x – 5+ 5 = x + 1 +5

2x = x + 6

2x – x = x +6 – x

$x = 6$

c)2x + 3 = x +4

2x + 3 – 3 = x + 4 – 3

2x = x +1

2x – x = x+1-x

$x = 1$

d)5x + 7 = 4x + 10

5x + 7 – 7 = 4x + 10 – 7

5x = 4x + 3

5x –4x = 4x + 3 – 4x

$x = 3$