Question

Resolver las siguientes ecuaciones y verificar el resultado:

A) 3x + 4. (- x - 2)= -5 x + 12

B) -2. (x - 1) + 3x = 2x - 9

C) 5 - 3. (-x + 4) = 6. (x - 2) + 2

D) 1/2. (3x - 5) + 3 = 2. (-x + 1/4)

Answer 1

Respuesta:

A) x = 5

B) x = 11

C) x = 1

D) x = 0

Explicación paso a paso:

A) 3x + 4 ( - x - 2) = - 5x + 12

R/ 3x - 4x - 8 = - 5x + 12

- x - 8 = - 5x + 12

- x + 5x - 8 = 12

- x + 5x = 12 + 8

4x = 12 + 8

4x = 20

x = 5

B) - 2 (x - 1) + 3x = 2x - 9

R/ - 2x + 2 + 3x = 2x - 9

x + 2 = 2x - 9

x - 2x + 2 = - 9

x - 2x = -9 - 2

- x = - 9 - 2

- x = - 11

x = 11

C) 5 - 3 (- x + 4) = 6 (x - 2) + 2

R/ 5 + 3x - 12 = 6 (x - 2) + 12

5 + 3x - 12 = 6x - 12 + 2

5 + 3x = 6x + 2

5 + 3x - 6x = 2

3x - 6x = 2 - 5

- 3x = 2 - 5

- 3x = - 3

x = 1

D) 1/2 (3x - 5) + 3 = 2 (- x + 1/4)

R/ 3/2x - 5/2 + 3 = 2 (- x + 1/4)

3/2x - 5/2 + 3 = -2x + 1/2

3/2x + 1/2 = 2x + 1/2

3/2x = - 2x

3x = - 4x

3x + 4x = 0

7x = 0

x = 0