Question

ecuaciones con propiedad distributiva :​

Answer 1

Respuesta:

a)

4x + 3 - x + 2x = -8 + 6

4x - x + 2x = -8 + 6 - 3

5x = -5

x = -5/5

x = -1

b)

6x - 3 + 8x - 4 = 1 - 2x

6x + 8x + 2x = 1 + 3 + 4

16x = 8

x = 8/16

x = 1/2

c)

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

6x + 12 = 4 - 4x

6x + 4x = 4 - 12

10x = -8

x = -8/10

x = -4/5

d)

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

2x + 2 - 5 + x = -x + 1

2x + x + x = 1 - 2 + 5

4x = 4

x = 4/4

x = 1

e)

-(x - 1) + (x + 1) = -x + 1

-x + 1 + x + 1 = -x + 1

-x + x + x = 1 - 1 - 1

x = -1

f)

-5(1 + 3x) = 3(x - 3) - (2x - 10) : 2

-5 - 15x = 3x - 9 - x + 5

-15x - 3x + x = -9 + 5 +5

-17x = 1

x = -1/17

g)

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

6x - 3 + 8x - 4 = -2x + 1

6x + 8x + 2x = 1 + 3 + 4

16x = 8

x = 8/16

x = 1/2

Explicación paso a paso: