Question

resolva as equações

a)6X=2X+16

b)2X-5=X+1

c)2X+3=X+4

d) 5X+7=4X+10

e)4X-7=8X-2

f)4X-10=2X+2

g)2X+1=4X-7

h)9X+9+3X=15

i)16X-1=12X+3

j)3X-2=4X+9​

Answer 1

resolva as equações

a)6X=2X+16

6x - 2x = 16

4x = 16

x = 16/4

x = 4

b)2X-5=X+1

2x - x = 1 + 5

x = 6

c)2X+3=X+4

2x - x = 4 - 3

x = 1

d) 5X+7=4X+10

5x - 4x = 10 - 7

x = 3

e)4X-7=8X-2

4x - 8x = - 2 + 7

- 4x = 5 (-1)

4x = - 5

x = - 5/4

f)4X-10=2X+2

4x - 2x = 2 + 10

2x = 12

x = 12/2

x = 6

g)2X+1=4X-7

2x - 4x = - 7 - 1

- 2x =- 8

x = - 8/- 2

x =4

h)9X+9+3X=15

9x + 3x = 15 - 9

12x = 6

x = 6/12 (÷6)

x= 1/2

i)16X-1=12X+3

16x - 12x = 3 + 1

4x = 4

x = 4/4

x = 1

j)3X-2=4X+9

3x - 4x =9 + 2

- x = 11(-1)

x = - 11

Answer 2

Olá!

$a)6x = 2x + 16 \\ 6x - 2x = 16 \\ 4x = 16 \\ x = \frac{16}{4} \\ \boxed{x = 4}$

$b)2x - 5 = x + 1 \\ 2x - 1 = 1 + 5 \\ \boxed{x = 6}$

$c)2x + 3 = x + 4 \\ 2x - x = 4 - 3 \\ \boxed{x = 1}$

$d)5x + 7 = 4x + 10 \\ 5x - 4x = 10 - 7 \\ \boxed{x = 3}$

$e)4x - 7 = 8x - 2 \\ 4 x - 8x = - 2 + 7 \\ - 4x = 5 \\ \boxed{x = - \frac{5}{4} }$

$f)4x - 10 = 2x + 2 \\ 4x - 2x = 2 + 10 \\ 2x = 12 \\ x = \frac{12}{2} \\ \boxed{x = 6}$

$g)2x + 1 = 4x - 7 \\ 2x - 4x = - 7 - 1 \\ - 2x = - 8 \\ x = \frac{8}{2} \\ \boxed{x = 4}$

$h)9x + 9 + 3x = 15 \\ 12x = 15 - 9 \\ 12x = 6 \\ x = \frac{ {6}^{ \div 6} }{12} \\ \boxed{x = \frac{1}{2} }$

$i)16x - 1 = 12x + 3 \\ 16x - 12x = 3 + 1 \\ 4x = 4 \\ x = \frac{4}{4} \\ \boxed{x = 1}$

$j)3x - 2 = 4x + 9 \\ 3x - 4x = 9 + 2 \\ - x = 11 \: \times ( - 1) \\ \boxed{x = - 11}$

Espero ter ajudado! :)