Question

Resuelve las siguientes ecuaciones con números enteros:
a) 5(3 + x) = 10

b) x : 3 + 1 = 16

c) – 3 + 2 (x – 1) = 5

d) – 2 + (- 3) = 4 + 3 (x – 2)

e) 2x + 5x – 10 = 3x – 6

f) – 3 (2x + 7) = 1 – 4x

g) 3 (x – 2) = 4x + 1

h) – 2 (4x + 5) = - 5x + 14

i) 3(3x + 2) = 2 (8 + 2x)

j) (3x + 1)2 = 49

k) 3 (x2 – 2) + 3 = 45

Answer 1

Explicación paso a paso:

a) 5(3 + x) = 10

15 + 5x = 10

5x = 10 - 15

5x = - 5

x = -5/5

x = - 1

b) x

--------- = 16

3 + 1

x

------- = 16

4

x = 16 • 4

x = 64

c) - 3 + 2 (x - 1) = 5

- 3 + 2x - 2 = 5

2x = 5 + 3 + 2

2x = 10

x = 10/2

x = 5

d) - 2 +(-3) = 4 + 3(x - 2)

- 2 - 3 = 4 + 3x - 6

- 5 = - 2 + 3x

- 3x = - 2 + 5

- 3x = 3

x = 3/- 3

x = - 1

e) 2x + 5x - 10 = 3x - 6

7x - 10 = 3x - 6

7x - 3x = - 6 + 10

4x = 4

x = 4/4

x = 1

f) - 3(2x + 7) = 1 - 4x

- 6x - 21 = 1 - 4x

- 6x + 4x = 1 + 21

- 2x = 22

x = 22/- 2

x = - 11

g) 3(x - 2) = 4x + 1

3x - 6 = 4x + 1

3x - 4x = 1 + 6

- x = 7

x = - 7

h) - 2(4x + 5) = - 5x + 14

- 8x - 10 = - 5x + 14

- 8x + 5x = 14 + 10

- 3x = 24

x = 24/- 3

x = - 8

i) 3(3x + 2) = 2(8 + 2x)

9x + 6 = 16 + 4x

9x - 4x = 16 - 6

5x = 10

x = 10/5

x = 2

j) (3x + 1) 2 = 49

6x + 2 = 49

6x = 49 - 2

6x = 47

x = 47/6

k) 3 (x2 - 2) + 3 = 45

6x - 6 + 3 = 45

6x = 45 + 6 - 3

6x = 48

x = 48/6

x = 8