Ecuaciones de primer grado

ERRGON

Ecuaciones de Primer Grado

*Resolver las siguientes  ecuaciones

1. x + 4 = 28

x = 28 - 4

x = 24

2. y - 6.5 = 31

y = 31 + 6.5

y = 24.5

3. 8z = 40 + 3z

8z – 3z = 40

5z = 40

z = 40/5

z = 8

4. 10x = - 5x + 60

10x + 5x = 60

15x = 60

x = 60/15

x = 4

5. - 15y + 3 = - 36 - 18y

-15y +18y = -36 -3

-33y = -39

y = -39/-33

y = 1.18

6. 2x + 4 + (3x - 4) = 3x + 12      =   2x + 4 + 3x - 4 = 3x + 12

2x + 3x – 3x = 12 -4 + 4

2x = 12

x = 12/2

x = 6

7. 4(3x + 2) - 8 = 5(2x + 3) + 5

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

12x – 10x = 15 + 5 + 8 – 8

2x = 20

x = 20/2

x = 10

8. 15x - 40 - 5x - 20 = 0

15x – 5x = 0 + 40 + 20

10x = 60

x = 60/10

x = 6

* Es necesario recordar el orden de los signos de agrupación, primero se eliminan paréntesis, luego corchetes y por último las llaves.

9. 16 - ( - 2x - 4) - (5x - 3x + 2) = - 4x - ( - 8x + 2)

16 + 2x + 4 – 5x + 3x – 2 = -4x + 8x -2

2x – 5x + 3x + 4x – 8x = – 16 – 4 + 2 – 2

-4x = -20

x = -20/-4

x = 5

10.  - (7x - 2 + 12) + ( - 5x - 3x + 4) = - ( - x + 7) - (6x - 4 - 7)

-7x + 2 – 12 - 5x - 3x + 4 = x – 7 – 6x + 4 + 7

-7x - 5x – 3x – x + 6x = - 2 + 12 – 4 – 7 + 4 + 7

-10x = 10

x = 10/-10

x = 0 

11.  - 18 - [ 3(x + 2) + 4] = 21 - [ 6( - 2x - 2) + 1]

-18 – [ 3x + 6 + 4 ] = 21 – [ -12x – 12 + 1 ]

-18 – 3x – 6 – 4 = 21 + 12x + 12 – 1

-3x – 12x = 18 + 6 + 4 + 21 + 12 – 1

-15x = 60

x = 60/-15

x = -4