Question

5 ejercicios de resolucion de ecuacion lineales

Answer 1

Ecuaciones lineales ejercicios resueltos

1. 6x – 7 = 2x + 5

6x – 2x = 5 + 7

4x = 12

x =12/4

La solución es x = 3

2. (13 + 2x)/(4x + 1 ) = 3/4

(13 + 2x)4 = 3(4x + 1 )

52 + 8x = 12x + 3

52 – 3 = 12x – 8

49 = 4x

La solución x = 49/4

3. (3 + 5x)/5 = (4 – x)/7

(3 + 5x)7 = (4 – x) 5

21 + 35x = 20 – 5x

35x + 5x = 20 – 21

40x = -1

La solución x = -1/40

4. 4x – 3 = -12x + 5

4x +12x = 5 + 3

16x = 8

x = 8/16 = 1/2

La solución x = 1/2

5. 6x +2 – 3x = 7x + 4

3x + 2 = 7x + 4

3x – 7x = 4 – 2

-4x = 2

x = 2/-4

La solución x = -1/2

6. 4(2y + 5) = 3(5y – 2)

8y + 20 = 15y – 6

20 + 6 = 15y – 8y

26 = 7y

La solución y = 26/7

7. 1/5x + 2 = 3 – 2/7x

1/5x  + 2/7x = 3 – 2

17/35 x = 1

La solución x = 35/17

8. x + 1 = 3

x = 3 -1

La solución x = 2

9. 1.5x – 0.7  = 0.4(3 – 5x)

1.5x – 0.7  = 1.2 – 2x

1.5x + 2x = 1.2 + 0.7

3.5x = 1.9

La solución x = 1.9/3.5

10. 6x + 12x -3 – 7x + 4= 0

11x + 1 = 0

11x = -1

La solución x = -1/11