Question

resuelve las ecuasiones a) 2x + 7= x + 15 b) -4 + x = -12 c) 1 + 3x = 2x + 3 d) x + 2x - 5 = -4x + 6 e) 5x + 5x + 13 = 65x - 36 F) 5x + 6 = 10x + 5 g)9y + 11 = -10 + 12y h) 8x + 4 + 3x = 7x + x - 14 i) 5y + 6y - 81 = 7y + 102 + 65y J) 8x - 15x - 30x - 51x = 53x + 31x - 172 k)3x + 101 - 4x - 33 = 108 - 16x - 100 L)16 + 7x - 5 + x = 11x - 3 - x PLISSS AYUDAAAA

Answer 1

- Ecuaciones:

a) Solución:

2x + 7 = x + 15

2x - x = 15 - 7

x = 8

Comprobamos:

2x + 7 = x + 15

2 . 8 + 7 = 8 + 15

16 + 7 = 23

23 = 23

b) Solución:

-4 + x = -12

x = -12 + 4

x = -8

Comprobamos:

- 4 + x = -12

-4 + (-8) = -12

-4 - 8 = -12

-12 = -12

c) Solución:

1 + 3x = 2x + 3

3x - 2x = 3 - 1

x = 2

Comprobamos:

1 + 3x = 2x + 3

1 + 3 . 2 = 2 . 2 + 3

1 + 6 = 4 + 3

7 = 7

d) Solución:

x + 2x - 5 = -4x + 6

x + 2x + 4x = 6 + 5

7x = 11

x = 11/7

Comprobamos:

x + 2x - 5 = - 4x + 6

11/7 + 2 . 11/7 - 5/1 = -4 . 11/7 + 6

11/7 + 2.11/1.7 - 5/1 = -4.11/1.7 + 6/1

11/7 + 22/7 - 5/1 = -44/7 + 6/1

7:7.11+7:7.22-7:1.5/7 = 7:7.(-44)+7:1.6/7

11+22-35/7 = -44+42/7

-2/7 = -2/7

e) Solución:

5x + 5x + 13 = 65x - 36

10x + 13 = 65x - 36

10x - 65x = -36 - 13

-55x = -49

x = -49/-55

Comprobamos:

5x + 5x + 13 = 65x - 36

5 . -49/-55 + 5 . -49/-55 + 13 = 65 . -49/-55 - 36

5.(-49)/1.(-55) + 5.(-49)/1.(-55) + 13 = 65.(-49)/1.(-55) - 36

-245/-55 + -245/-55 + 13 = -3185/-55 - 36

245/55 + 245/55 + 13/1 = 3185/55 - 36/1

55:55.245+55:55.245+55:1.13/55 = 55:55.3185-55:1.36/55

245+245+715/55 = 3185-1980/55

1205/55 =1205/55

f) Solución:

5x + 6 = 10x + 5

5x - 10x = 5 - 6

-5x = -1

x = -1/-5

x = 1/5

Comprobamos:

5x + 6 = 10x + 5

5 . 1/5 + 6 = 10 . 1/5 + 5

5.1/1.5 + 6 = 10.1/1.5 + 5

5/5 + 6 = 10/5 + 5

1 + 6 = 2 + 5

7 = 7

g) Solución:

9y + 11 = -10 + 12y

9y - 12y = -10 - 11

-3y = -21

y = -21 : -3

y = 7

Comprobamos:

9y + 11 = -10 + 12y

9 . 7 + 11 = -10 + 12 . 7

63 + 11 = -10 + 84

74 = 74

h) Solución:

8x + 4 + 3x = 7x + x - 14

8x + 3x - 7x - x = - 14 - 4

3x = -18

x = -18/3

x = -6

Comprobamos:

8x + 4 + 3x = 7x + x - 14

8 . (-6) + 4 + 3 . (-6) = 7 . (-6) + (-6) - 14

-48 + 4 + (-18) = -42 - 6 - 14

-62 = -62

i) Solución:

5y + 6y - 81 = 7y + 102 + 65y

5y + 6y - 7y - 65y = 102 +81

-61y = 183

y = 183 : -61

y = -3

Comprobamos:

5y + 6y - 81 = 7y + 102 + 65y

5 . (-3) + 6 . (-3) - 81 = 7 . (-3) + 102 + 65 . (-3)

-15 + (-18) - 81 = -21 + 102 + (-195)

-15 - 18 - 81 = -21 + 102 - 195

-114 = -114

j) Solución:

8x - 15x - 30x - 51x = 53x + 31x - 172

8x - 15x - 30x - 51x - 53x - 31x = -172

-172x = -172

x = -172/-172

x = 1

Comprobamos:

8x - 15x - 30x - 51x = 53x + 31x - 172

8 . 1 - 15 . 1 - 30 . 1 - 51 . 1 = 53 . 1 + 31 . 1 - 172

8 - 15 - 30 - 51 = 53 + 31 - 172

-88 = -88

k) Solución:

3x + 101 - 4x -33 = 108 - 16x - 100

3x - 4x + 16x = 108 - 100 - 101 + 33

15x = -60

x = -60 : 15

x = -4

Comprobamos:

3x + 101 - 4x - 33 = 108 - 16x - 100

3 . (-4) + 101 - 4 . (-4) - 33 = 108 - 16 . (-4) - 100

-12 + 101 - (-16) - 33 = 108 - (-64) -100

-12 + 101 + 16 - 33 = 108 + 64 - 100

72 = 72

l) Solución:

16 + 7x - 5 + x = 11x - 3 - x

7x + x - 11x + x = -3 - 16 + 5

-2x = -14

x = - 14 : -2

x = 7

Comprobamos:

16 + 7x - 5 + x = 11x - 3 - x

16 + 7 . 7 - 5 + 7 = 11 . 7 - 3 - 7

16 + 49 - 5 + 7 = 77 - 3 - 7

67 = 67