Question

zadanie 1

rozwiąz równania :

a)1-6/7x=4/7

b)6(1/4x-2)=18

c)x/6-1/6=1

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

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

f)3/4(2-3x)=-6

g)1/5(x-3)=9-x

h)0,6+x/2=x+1

i)3x-5/2-5x-1/10=0

j)x/2=2/5(4-x)-4

k)2x-1/5-x-2/2=0,7x

l)2x-3x+5/4=-1/4x-1

/ to jest kreska ułamkowa (raz krótka , raz długa )

Answer 1

a)1-6/7x=4/7

     6/7x =4/7 -1

     6/7x = 3/7 /*7/6

          x = 1/2

b)6(1/4x-2)=18

   3/2x -12 = 18

    3/2x = 30/*2/3

         x = 20

c)x/6-1/6=1

   x/6 = 1,1/6

    x/6 = 7/6 /*6

        x= 7

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

    -4x +2 = x/3

     -4x -x/3 = -2 /*3

      -12x -x = -6

         -13x = -6 /:(-13)

              x= 6/13

      

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

   6/5 -2/5x = -2

   -2/5x = -2,6/5

    -2/5x = -16/5 /*(-5/2)

          x = 8

f)3/4(2-3x)=-6

   3/2 -9/4x = -6

      -9/4x = -6,3/2

       -9/4x = -15/2 /*(-4/9)

              x = 30/9

               x = 3,1/3

g)1/5(x-3)=9-x

  1/5x -3/5 = 9-x

   1,1/5x = 9,3/5

     6/5x = 48/5 /* 5/6

          x = 8

h)0,6+x/2=x+1

   3/5 + x/2 = x+1

            x/2 -x = 1-2/5

             x/2-x = 3/5 /*2

              x-2x = 6/5

                -x = 6/5 /:(-1)

                  x = -6/5

             

i)3x-5/2-5x-1/10=0

   -2x = 5/2 +1/10

   -2x = 26/10 /*(-1/2)

      x = -13/10

 

  

j)x/2=2/5(4-x)-4

   x/2 = 8/5 -2/5x -4

   x/2 +2/5x = -2,2/5 /*2

     x + 4/5x = -24/5

        9/5x = -24/5 /*5/9

              x = 8/3

    

k)2x-1/5-x-2/2=0,7x

   x - 0,7x = 1/5+2/2

      0,3x = 1,2 /:0,3

           x = 4

 

l)2x-3x+5/4=-1/4x-1

    -x +1/4x = -1-5/4

          3/4x = 2,1/4

          3/4x = 9/4 /*4/3

               x = 3