Question

por favor alguien q me ayude EJERCICIOS:
Resuelve las siguientes ecuaciones
1. 3(x + 2) = 5(x - 6)
2. 5x - 3(x-3) = 2(x + 4)
3. 7m - 8 = 4m - 5(2m-3)
4. 7(2a - 3)-3(4a + 8) = -2
5. 15x - 10 = 6x - (x + 2) + (-x+3)
6. 5(y +7) - 3(y + 2) = 0
7. 4(t +1) + 2(t+6) = 3
8. - 7(x + 3) + 6(2x + 9) = 6(x +3)​

Answer 1

Respuesta:

Explicación paso a paso:

1)        3(x + 2) = 5(x - 6)  

3x + 6 = 5x - 30

3x - 5x = -30 - 6

-2x = -36

x = -36/-2

x = 18

2)        5x - 3(x-3) = 2(x + 4)

5x - 3x - 9 = 2x + 8

2x - 9 = 2x + 8

2x - 2x = 8 + 9

0x = 17

x = 17/0 = 0

3)        7m - 8 = 4m - 5(2m-3)

7m - 8 = 4m -10m + 15

7m - 4m + 10m = 15 + 8

13m = 23

m= 23/13

4)         7(2a - 3) - 3(4a + 8) = -2

14a - 21 - 12a - 24 = -2

14a - 12a = -2 + 21 + 24

2a = 43

a= 43/2 = 21,5

5)       15x - 10 = 6x - (x + 2) + (-x + 3)

15x - 10 = 6x - x - 2 - x + 3

15x - 6x + x + x = -2 + 3 + 10

11x = 11

x= 11/11 = 1

6)      5(y+7) - 3(y+2) = 0

5y + 35 - 3y - 6 = 0

5y- 3y = -35 +6

2y= -29

y= -29/2 = -14,5

7)       4(t+1) + 2(t+6) = 3

4t + 4 + 2t + 12 = 3

6t + 16 = 3

6t = 3-16

6t = -13

t= -13/6

8)        -7(x+3) + 6(2x + 9) = 6(x+3)

-7x - 21 + 12x + 54 = 6x + 18

-7x + 12x - 6x = 18 + 21 - 54

-1x = -15

x = 15