Question

Siema.

Zróbcie mi to zadanie proszę bo nie ogarniam troszkę:

1. Rozwiąż równania:

a) 3/x = 5/7

b) 8/3,5 = 4/y

c) 5/6 = 1 + t / 10

d) 1/ z-1 = 6,5 / 8

e) 2x- 5/3 = 4/5

f) 10/1,5 = 8/ 9-3x

i jeszcze jedno:

a)2 / x = 3 / x-1

b) 4 / x+1 = 5/x

c) 3 / 5 = 2x -1/2-5x

d) 2x+1/1-2x = 2/3

e) 0,4x=1/3 = 2x-5/2

f) 2+x (do drugiej potęgi) /x = 2x-1/2

/ oznacza ułamek

Proszę pomóżcie. Dam naj. !

Answer 1

to proporcja mnozysz na krzyź

a) 3/x = 5/7

3*7 = 5*x

21=5x

x = 21/5 = 4 i 1/5

 

b) 8/3,5 = 4/y

8*y = 3,5*4

8y = 14

y =14/8 = 1 i 6/8 = 1 i 3/4

 

c) 5/6 = 1 + t / 10

50 = 6(1+t)

50 = 6+6t

6t = 56

t = 9 i 2/6

 

d) 1/ z-1 = 6,5 / 8

 8 = 6,5(z-1)

8 = 6,5 z -6

6,5z = 14

z = 2,15

 

e) 2x- 5/3 = 4/5

(2x-5)* 5 = 3*4

10x-25 = 12

10x = 37

x = 3,7

 

f) 10/1,5 = 8/ 9-3x

10(9-3x) = 1,5*8

90-30x = 12

-30x = -78

x = 78/30 = 2 i 17/30

 

 

 

 

a)2 / x = 3 / x-1

2(x-1) = 3x

2x-2 =3x

5x =2

x=2/5

 

b) 4 / x+1 = 5/x

4x = 5x+5

-x=5

x=-5

 

c) 3 / 5 = 2x -1/2-5x

6-15x = 10x-5

-25x = -11

x = 11/25

 

d) 2x+1/1-2x = 2/3

6x+3 = 2-4x

10x = -1

x = -1/10

 

e) 0,4x=1/3 = 2x-5/2

0,8x = 2/3x -5/3

4/5x - 2/3x = -5/3

12/15x - 10/15x = -5/3

2/15x = -5/3

x = -5/3 * 15/2 = -75/6 = -12 i 3/6

 

 

f) 2+x (do drugiej potęgi) /x = 2x-1/2 

2*(2+x)² = x(2x-1)

2(4+4x+x²) = 2x²-x

8+8x+2x²-2x²-x =0

7x = -8

x = -9/7 = -1 i 1/7