Question

RESOLVER LAS SIGUIENTES ECUACIONES
1. 3x+5=5x-13
2. 5(7-x)=31-x
3. 4(2-3x)= -2x-27
4. 6x-8=4(-2x+5)
5. 3(4x+7)=4x-25
6. 7x+15=3(3x-7)

Answer 1

1) 3x + 5 = 5x -13
3x - 5x = -13 -5
-2x = -18
x = -18/-2
x = 9

2) 5(7-x) = 31-x
35 - 5x = 31 -x
-5x + x = 31-35
-4x = -4
x = -4/-4
x = 1

3) 4(2-3x) = -2x -27
8 - 12x = -2x -27
-12x +2x = -27-8
-10x = -35
x = 35/10
x = 3,5

4) 6x -8 = 4(-2x+5)
6x -8 = -8x +20
6x + 8x = 20+8
14x = 28
x = 28/14
x =2

Answer 2

Hola,

Resolver las siguientes ecuaciones:

$--------------------------------------$

A.)

$3x+5=5x-13 \\ 3x - 5x = - 13 - 5 \\ - 2x = - 18 \\ 2x = 18 \\ x = \frac{18}{2} \\ x = 9$

Solución: x = 9.

$--------------------------------------$

B.)

$5(7-x)=31-x \\ 35 - 5x = 31 - x \\ - 5x + x = 31 - 35 \\ - 4x = - 4 \\ 4x = 4 \\ x = \frac{4}{4} \\ x = 1$

Solución: x = 1.

$--------------------------------------$

C.)

$4(2-3x)= -2x-27 \\ 8 - 12x = - 2x - 27 \\ - 12x + 2x = - 27 - 8 \\ - 10x = - 35 \\ 10x = 35 \\ x = \frac{35}{10} \\ x = \frac{7}{2}$

Solución: x = 7/2.

$--------------------------------------$

D.)

$6x-8=4(-2x+5) \\ 6x - 8 = - 8x + 20 \\ 6x + 8x = 20 + 8 \\ 14x = 28 \\ x = \frac{28}{14} \\ x = 2$

Solución: x = 2.

$--------------------------------------$

E.)

$3(4x+7)=4x-25 \\ 12x + 21 = 4x - 25 \\ 12x - 4x = - 25 - 21 \\ 8x = - 46 \\ x = - \frac{46}{8} \\ x = - \frac{23}{4}$

Solución: x = - 23/4.

$--------------------------------------$

F.)

$7x+15=3(3x-7) \\ 7x + 15 = 9x - 21 \\ 7x - 9x = - 21 - 15 \\ - 2x = - 36 \\ 2x = 36 \\ x = \frac{36}{2} \\ x = 18$

Solución: x = 18.

$--------------------------------------$


Espero que te sirva, Saludos.