Question

TAM GDZIE SĄ „/’’ to inaczej „----’’

1) 3/4x – 2+ 0,5x / 5 = x – 3,9

2) 3x + 4/ 2 = 2x + 3/ 3

3) X+4/ 8 = 0,5 – 3x – 5 / 6

4) X + 5-x / 3 = 3+2x

5) 1+ = - 2(1+x) / 2

6) X – x-4 / 2 = 2- 4+2x / 3

7) 3x-3 / 2 – x-1 /3 = 2x + 1/6

8) 2-3x/3 – x-1/2 = 0,3x – 1-2x/6

9) 2x – 3(x-1)/2 = 3+2(x-3) /5

10) -1+x/3 + 3-x /6 = x-1/2

11) X-1/3 – 3-4x/2=1/6

12) 2x-5(x-1)/2=1+x/3

13) 3-x/2-x/3+2-/4=15

14) 2-x/3+3x-8/6=x+4/2-x-6/9

TAM GDZIE SĄ „/’’ to inaczej „----’’

Answer 1

1) 3/4x -2+ 0,5x/5 = x -3,9 /*20

     15x -40 +2x = 20x -78

      15x + 2x -20x = -78 +40

           -3x = - 38 /:(-3)

             x = 38/3

         x  = 12 i2/3

 

2) 3x +4/2 = 2x +3/3

     3x + 2 = 2x +1

     3x - 2x = 1 -2

        x = -1

 

3) x +4/8 = 0,5 -3x -5/6

    x + 0,5 = 0,5 -3x -5/6   /*6          (4/8 = 0,5)

    6x +3 = 3 -18x -5

    6x +18x = 3 -5 -3

       24x = -5 /24

          x = - 5/24

 

4) x + 5 - x/3 = 3 +2x   /*3

    3x +15 -x = 9 + 6x

    3x -x -6x = 9 -15

         -4x = -6 /(-4)

           x = 6/4

            x = 1 i 2/4 = 1i1/2

 

 

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

    x - x -2 = 2 -4 +2x/3    /*3

    3x -3x -6 = 6 -12 +2x

     3x -3x -2x = 6 - 12 +6

            - 2x = 0

 

7) 3x -3/2 -x -1/3 = 2x +1/6     /*6

     18x -9 -6x -2 = 12x +1

     18x -6x -12x = 1 + 9 + 2

                 0 = 12

 

8) 2-3x/3 -x -1/2 = 0,3x -1 -2x/6

    2 -x -x  -1/2 = 3/10x -1 -2x/6      /*30

    60 -30x -30x -15 = 9x -30 -10x

       -30x -30x -9x +10x = -30 -60 +15

           -59x = -75 /:(-59)

             x = 75/79

 

9) 2x -3(x-1)/2 = 3 +2(x-3)/5

     2x -3x+3)/2 = 3 +(2x-6)/5     /*10

     20x -15x +15 = 3 +4 x -12

     20x -15x -4x = 3-12 -1

             x = 10

 

10) -1 +x/3 +3 -x/6 = x - 1/2      /*6

      -6 +2x +18 -x = 6x - 3

          2x -x -6x = -3 +6 -18

             -5x = -15/:(-5)

                x = 3

 

11) x -1/3 -3 -4x/2 = 1/6   *6

      6x -2 -18 -12x = 1

      6x -12x = 1 +2 +18

          -6x = 21/:(-6)

             x = - 21/6

 

12) 2x -5(x-1)/2 = 1 +x/3

       2x - (5x +5)/2 = 1 +x/3    /*6

       12x -15x +15 = 6 +2x

        12x -15x -2x = 6 -15

               -5x = -9/:(-5)

                  x = 9/5

 

13) 3-x/2 -x/3 +2/4 =15    /*12

      36 -6x -4x +6 = 180

          -6x -4x = 180 -36 -6

               - 10x = 138 /:(-10)

                    x = - 13,8

 

14) 2 -x/3 +3x -8/6 = x +4/2 -x -6/9     /*18

      36 -6x + 54x  -24 = 18x +36 -18x - 12

         -6x +54x -18x +18x = 36 -12 -36 +24

               48x = 12 /:48

                   x = 12/48

                   x = 1/4