Question

rozwiąz równania a) -2(x+3)+4(2x+3)=-6

b)5(3-x) + x-3/2 = 4x+5

c)x-1/3 - x-2/3 = 2x-5/6

wyznacz x z proporcji

a)1/x = 5/15

b)2/3=x/9

c)x+1/x=6/4

d)5/x-10 = -3/1-2x

e)2x-6/x-2=2/3

f)2/3x+1= 1/x+5

Answer 1

zad 1

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

-2x-6+8x+12=-6

6x=-6-6

6x=-12

x=-2

 

b)5(3-x) + x-3/2 = 4x+5

15-5x+x-3/2=4x+5

-4x-4x=5+3/2-15

0x=-8,5 sprzeczosc

 

c)x-1/3 - x-2/3 = 2x-5/6   /*6

6x-2-6x-4=12x-5

-12x=-5+6

-12x=1

x=-1/12

 

zad 2

a)1/x = 5/15

5x=15

x=3

b)2/3=x/9

3x=18

x=6

c)x+1/x=6/4

4(x+1)=6x

4x+4=6x

4x-6x=-4

-2x=-4

x=2

d)5/x-10 = -3/1-2x

e)2x-6/x-2=2/3

2(x-2)=3(2x-6)

2x-4=6x-18

2x-6x=-18+4

-4x=-14

x=14/4

x=7/2

f)2/3x+1= 1/x+5

2(x+5)=3x+1

2x+10=3x+1

2x-3x=1-10

-x=-9

x=9