Question

Rozwiaz równania.
a)-5x+6=-3x+4
b)x+1/3=2/3
c)x/8=x-3/4
d)4:x=6:12
e)-3(x+6)+2x-1
f)-5(x-2)=3x+4
g)-2(x+1)+3(x-4)
h)1/6x+2/3=1/2x+2
i)=3x-2+1/3x+4
j)-2(x+3)+x=2x+1
k)x/-5+x+3/2

:)

Answer 1

a) -5x+6=-3x+4

-5x + 3x = 4 - 6

-2x = -2   /:(-2)

x = 1

 

b) x+1/3=2/3 

(x+1)*3 = 2*3

3x + 3 = 6

3x = 3   /:3

x = 1

 

c) x/8=x-3/4 

 4x = (x-3)*8

4x = 8x - 24

4x - 8x = -24

-4x = -24   /:(-4)

x = 6

 

d) 4:x=6:12 

4*12 = 6x

48 = 6x

-6x = -48   /:(-6)

x = 8

 

e) -3(x+6) = 2x-1   

 -3x - 18 = 2x - 1

-3x - 2x = -1 + 18

-5x = 17   /:(-5)

x = 3,4

 

f) -5(x-2)=3x+4 

-5x + 10 = 3x + 4

-5x - 3x =  4 - 10

-8x = -6   /:(-8)

x =  0,75

 

g) -2(x+1) = 3(x-4)  

-2x - 2 = 3x - 12

-2x  - 3x = -12 + 2

-5x = -10   /:(-5)

x = 2

 

h) 1/6x+2/3=1/2x+2   /*6  

x + 4 = 3x + 12

x - 3x = 12 - 4

-2x = 8   /:(-2)

x = -4

 

i) -3x-2=1/3x+4     /*3

-9x - 6 = x + 12

-9x - x = 12 + 6

-10x = 18   /:(-10)

x = -1,8

 

j) -2(x+3)+x=2x+1

-2x - 6 + x = 2x + 1

-2x + x - 2x = 1 + 6

-3x = 7    /:(-3)

x = -7/3

k) x/-5 = x+3/2

 2x = (x+3)(-5)

2x = -5x - 15 

2x + 5x = -15

7x = -15   /:7

x = -15/7