Question

rozwiąż .:

a) -5x+3=7x+8

b) x+5/3=x/2

c) 5*(2x-3)<4*(3+x)

d)(x-3)do2 -(x+5)do 2 = -2

e) 5+4x/-3=3x-5/9

Answer 1

a) -5x+3=7x+8   | + 5x

3 = 12x + 8  |-8

12x = -5   | : 12

x = -5/12

b) x+5/3 = x/2  |*6

2x + 10 = 3x  | -2x

x = 10

c) 5*(2x-3)<4*(3+x)

10x - 15 < 12 + 4x   |-4x .  - 12

6 x - 27 < 0

6x < 27

x < 9/2

d) (x-3)² -(x+5)² = -2

x² -6x + 9 -x² - 10x - 25 = -2

- 16x - 16 = -2

- 16 x = 14

x = - 14/16

e) 5+4x/-3 =  3x-5/9   | * 9

- 15 - 12x = x - 5

- 10 - 12 x = x

- 10 = 13 x

x = - 10/13

Answer 2

a) -5x+3=7x+8

-5x - 7x = 8 - 3

-12x = 5 / :(-12)

x = -5/12

 

b) x+5/3=x/2 / *6

6x + 10 = 3x

6x - 3x = -10

3x = - 10 /:3

x = - 10/3

x = - 3 1/3

 

c) 5*(2x-3)<4*(3+x)

10x - 15 < 12 + 4x

10x - 4x < 12 + 15

6x < 27 /:6

x < 27/6

x < 9/2

x < 4 1/2

 

d)(x-3)do2 -(x+5)do 2 = -2

x² - 6x + 9 - x² - 10x - 25 = -2

-16x - 16 = - 2

-16x = -2 + 16

-16x = 14 /:(-16)

x = - 14/16

x = -7/8

 

e) 5+4x/-3=3x-5/9 /*9

45 - 12x = 27x - 5

-12x - 27x = -5 - 45

-39x = -50 / :(-39)

x = 50/39

x = 1 11/39