Question

Ayuda por favor con estas ecuaciones....
1) 3 (1 - 2X) + 12 = 10 - 2 (X - 3)
2) 9X - X = X + 4 + 7X
3) 2(3X + 1) - X + 6 = 2 (X - 1)
4) 4X + 2 (X + 3) = 2 (X + 2)
5) 5X + 2 - 7X = 6X - 14
6) 2 (1 - X) - 3 = 3 (2X + 1) + 2

Answer 1

Ecuaciones de primer grado.

1)

3(1 - 2x) + 12 = 10 - 2(x - 3)

3 - 6x + 12 = 10 - 2x + 6

15 - 6x = 16 - 2x

15 - 16 = - 2x + 6x

- 1 = 4x

- 1/4 = x

........................................................................

2)

9x - x = x + 4 + 7x

8x = 8x + 4

8x - 8x = 4

0x = 4

x = 0/4

¡Le ecuación no tiene solución! .

...............................................................

3)

2(3x + 1) - x + 6 = 2(x - 1)

6x + 2  - (x + 6) = 2x - 2

6x + 2 - x - 6 = 2x - 2

7x - 4 = 2x - 2

7x - 2x = - 2 + 4

5x = 2

  x = 5/2

...................................................

4)

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

4x + 2x + 6 = 2x + 4

6x + 6 = 2x + 4

6x - 2x = 4 - 6

4x = - 2

 x = - 2/4

 x = - 1/2

................................................

5)

5x + 2 - 7x = 6x - 14

- 2x + 2 = 6x - 14

2 + 14 = 6x + 2x

16 = 8x

16/8 = x

2 = x

.............................................................

6)

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

2 - 2x - 3 = 6x + 3 + 2

- 1 - 2x = 6x + 5

- 1 - 5 = 6x + 2x

- 6 = 8x

- 6/8 = x

-3/4 = x

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