Question

primer grado
5(3x-2x+1)-4(3x-2)=6x+2(3x-2x+3)

Answer 1

- Solución:

• Resolvemos la ecuación:

5 . (3x - 2x + 1) - 4 . (3x -2) = 6x + 2 . (3x - 2x + 3)

15x - 10x + 5 - 12x + 8 = 6x + 6x - 4x + 6

15x - 10x - 12x + 5 + 8 = 6x + 6x - 4x + 6

-7x + 13 = 8x + 6

-7x - 8x = 6 - 13

-15x = -7

x = -7/-15

x = 7/15

El número es 7/15.

• Comprobamos la ecuación:

5 . (3x - 2x + 1) - 4 . (3x -2) = 6x + 2 . (3x - 2x + 3)

5 . (3/1 . 7/15 - 2/1 . 7/15 + 1) - 4 . (3/1 . 7/15 - 2) = 6/1. 7/15 + 2 . ( 3/1 . 7/15 - 2/1 . 7/15 + 3) =

5 . (21/15 - 14/15 + 1/1) - 4 . (21/15 - 2) = 42/15 + 2 . (21/15 - 14/15 + 3) =

5 . (21/15 - 14/15 + 15/15) - 4 . (21/15 - 30/15) = 42/15 + 2 . (21/15 - 14/15 + 45/15) =

5 . (21-14+15/15) - 4 . 21-30/15 = 42/15 + 2 . (21-14+45/15)

5 . 22/15 - 4 . -9/15 = 42/15 + 2 . 52/15

5/1 . 22/15 - 4/1 . -9/15 = 42/15 + 2/1 . 52/15

110/15 - -36/15 = 42/15 + 104/15

110+36/15 = 42+104/15

146/15 = 146/15