Question

8. Resuelve las siguientes ecuaciones.
a) 3(3x - 5) + 3(2x - 6) = 42
b)2(-3x + 3) - 3(x + 5) = x + 11
c)2(3x - 1)-3(- x + 1) - (2x – 4) = x
d)(-2x - 1) - (x + 3) = x + 16
e) -2(x - 3) + 4x + 5 = 3(2 - x)​

Answer 1

Explicación paso a paso:

a) 3(3x - 5) + 3(2x - 6) = 42

9x - 15 + 6x -18= 42

9x + 6x= 42+15+18

15x= 75

x= 75/15

x= 5

b)2(-3x + 3) - 3(x + 5) = x + 11

-6x + 6 - 3x - 15 = x + 11

-6x - 3x - x = 11 + 15 - 6

-10x = 20

x= 20/-10

x= -2

c)2(3x - 1)-3(- x + 1) - (2x – 4) = x

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

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

6x= -1

x= -1/6

d)(-2x - 1) - (x + 3) = x + 16

-2x - 1 - x - 3 = x + 16

-2x - x - x = 16 + 1 + 3

-14x = 20

x= 20/14 = 10/7

e) -2(x - 3) + 4x + 5 = 3(2 - x)

-2x + 6 + 4x + 5 = 6 - 3x

-2x + 4x + 3x= 6 - 6 - 5

5x = -5

x= -5/5

x= -1