Question

IDENTIFIQUE O EQUILÍBRIO DAS EQUAÇÕES:
A) 3 x = 18
B) x + 4 = 8
C) x + 3 = 1
D) x – 3 = 2
E) x - 3 = 9
F) 4x - 9 = 1 - 2x
G) x + 5 = 20 - 4x
H) 9x - 4x + 10 = 7x – 30

Answer 1

Explicação passo-a-passo:

A) 3x = 18

x = 18/3

x = 6

=> 3x = 18

=> 3.6 = 18

=> 18 = 18 ✓ Equilibrado

B) x + 4 = 8

x = 8 - 4

x = 4

=> x + 4 = 8

=> 4 + 4 = 8

=> 8 = 8 ✓ Equilibrado

C) x + 3 = 1

x = 1 - 3

x = - 2

=> x + 3 = 1

=> - 2 + 3 = 1

=> 1 = 1 ✓ Equilibrado

D) x - 3 = 2

x = 2 + 3

x = 5

=> x - 3 = 2

=> 5 - 3 = 2

=> 2 = 2 ✓ Equilibrado

E) x - 3 = 9

x = 9 + 3

x = 12

=> x - 3 = 9

=> 12 - 3 = 9

=> 9 = 9 ✓ Equilibrado

F) 4x - 9 = 1 - 2x

4x + 2x = 1 + 9

6x = 10

x = 10/6

x = 5/3 <== simplificado por 2

=> 4x - 9 = 1 - 2x

=> 4.(5/3) - 9 = 1 - 2.(5/3)

=> 20/3 - 9 = 1 - 10/3

=> 9.3-20/3 = - 1.3+10/3

=> 7/3 = 7/3 ✓ Equilibrado

G) x + 5 = 20 - 4x

x + 4x = 20 - 5

5x = 15

x = 15/5

x = 3

=> x + 5 = 20 - 4x

=> 3 + 5 = 20 - 4.3

=> 8 = 20 - 12

=> 8 = 8 ✓ Equilibrado

H) 9x - 4x + 10 = 7x - 30

9x - 4x - 7x = - 30 - 10

- 2x = - 40 .(-1)

2x = 40

x = 40/2

x = 20

=> 9x - 4x + 10 = 7x - 30

=> 9.20 - 4.20 + 10 = 7.20 - 30

=> 180 - 80 + 10 = 140 - 30

=> 110 = 110 ✓ Equilibrado