Question

1. Resolver las siguientes ecuaciones: a) 3(x+2)÷5 =3 b) 2(2x-1)÷11=2
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Answer 1

- Ecuaciones:

❀ Primera ecuación:

Resolvemos:

3 (x + 2) : 5 = 3

(3x + 6) : 5 = 3

3x + 6 = 3 . 5

3x + 6 = 15

3x = 15 - 6

3x = 9

x = 9 : 3

x = 3

Comprobamos:

3 (x + 2) : 5 = 3

3 . (3 + 2) : 5 = 3

3 . 5 : 5 = 3

15 : 5 = 3

3 = 3

❀ Segunda ecuación:

Resolvemos:

2 (2x - 1) : 11 = 2

(4x - 2) : 11 = 2

4x - 2 = 2 . 11

4x - 2 = 22

4x = 22 + 2

4x = 24

x = 24 : 4

x = 6

Comprobamos:

2 (2x - 1) : 11 = 2

2 . (2 . 6 - 1) : 11 = 2

2 . (12 - 1) : 11 = 2

2 . 11 : 11 = 2

22 : 11 = 2

2 = 2