Question

1. Resolva as equações:
a) 6X-20=-X+20+9=
b)X+X-20=-X+40
c)2X-38=22-8+10

2.Descubra o valor do X nas equações abaixo relacionadas:
a)112+7X-262=5X
b)3X=20+81(X-1)=
c)24X-20-48=4

Alguém me ajuda pfv :(

Answer 1

1)

a) 6X-20=-X+20+9

6x+x = +20+9+20

7x = 49

x = 49/7

x = 7

b)X+X-20=-X+40

x+x+x = 40+20

3x = 60

x = 60/3

x = 20

c)2X-38=22-8+10

2x = 22-8+10+38

2x = 62

x = 62/2

x = 31

2)

a)112+7X-262=5X

7x-5x = -112-262

2x = -374

x = -374/2

x = -187

b)3X=20+81(X-1)

3x = 20+81x-81

3x-81x = -81+20

-78x = -61

x = 61/78

c)24X-20-48=4

24x = 4+20+48

24x = 72

x = 72/24

x = 3

Bom descanso

03/06/22

Answer 2

Resposta:

1.

a)

$\sf{6X-20=-X+20+9}$

$\sf{6x - 20 = - x + 29}$

$\sf{6x - 20 + x = 29}$

$\sf{6x + x = 29 + 20}$

$\sf{7x = 29 + 20}$

$\sf{7x = 49}$

$\sf{49 \div 7}$

$\rightarrow\boxed{\boxed{\sf{x = 7}}}\checkmark$

b)

$\sf{X+X-20=-X+40}$

$\sf{2x - 20 = - x + 40}$

$\sf{2x - 20 + x = 40}$

$\sf{2x + = 40 + 20}$

$\sf{3x = 40 + 20}$

$\sf{3x = 60}$

$\sf{60 \div 3}$

$\rightarrow\boxed{\boxed{\sf{x = 20}}}\checkmark$

c)

$\sf{2X-38=22-8+10}$

$\sf{2x - 38 = 24}$

$\sf{2x = 24 + 38}$

$\sf{2x = 62}$

$\sf{62 \div 2}$

$\rightarrow\boxed{\boxed{\sf{x = 31}}}\checkmark$

2.

a)

$\sf{112+7X-262=5X}$

$\sf{ - 150 + 7x = 5x}$

$\sf{7x = 5x + 150}$

$\sf{7x - 5x = 150}$

$\sf{2x = 150}$

$\sf{150 \div 2}$

$\rightarrow\boxed{\boxed{\sf{x = 75}}}\checkmark$

b)

$\sf{3X=20+81(X-1)}$

$\sf{3x = 20 + 81x - 81}$

$\sf{3x = - 61 + 81x}$

$\sf{3x - 81x = - 61}$

$\sf{ - 78x = - 61}$

$\rightarrow\boxed{\boxed{\sf{x = \frac{61}{78} }}}\checkmark$

c)

$\sf{24X-20-48=4}$

$\sf{24x - 68 = 4}$

$\sf{24x = 4 + 68}$

$\sf{24x = 72}$

$\sf{72 \div 24}$

$\rightarrow\boxed{\boxed{\sf{x = 3}}}\checkmark$

Explicação passo-a-passo:

(espero ter colaborado)