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Solve the following equations : x/14 - 1/2 = -1/7;  (4/5)x + 3 = 2x -3/5; (1/8)x +...

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monique06 | Valedictorian

Posted February 3, 2012 at 12:23 PM via web

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Solve the following equations : x/14 - 1/2 = -1/7;  (4/5)x + 3 = 2x -3/5; (1/8)x + 2((1/4x)-5) = 6 and 2.4x + 0.5 = 7.5 - 1.1x

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted February 3, 2012 at 12:36 PM (Answer #1)

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The solution of the given linear equations is:

`x/14 - 1/2 = -1/7`

=> `x/14 = -1/7 + 1/2`

=> `x/14 = (7-2)/14`

=> `x = 5`

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

=> `2x - (4/5)x = 3 + 3/5`

=> `1.2x = 3.6`

=> x = 3

`(1/8)x + 2(1/4x - 5) = 6`

=>`(1/8)x + (1/2)x - 10 = 6`

=> `(5/8)x = 16`

=> `x = 25.6`

`2.4x + 0.5 = 7.5 - 1.1x`

=> `2.4x + 1.1x = 7.5 - 0.5`

=> 3.5x = 7

=> x = 2``

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hina0000 | Student, Grade 9 | Honors

Posted February 3, 2012 at 10:09 PM (Answer #2)

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  1. x/14 -1/2 =-1/7

        14(x/14) - 14(1/2)=14(-1/7)

         x-7  =-2

        x=-2 +7

        x=5

   2.  4/5x +3 =2x - 3/5

        5(4/5x) + 5(3)=5(2x) - 5(3/5)

        4x + 15 =10x - 3

        4x - 10x =-3 -15

        -6x =-18

          x =-18/-6

          x =3

   3.   (1/8) +2(1/4x - 5)=6

         1/8x 1/2x -10=6

         5/8x     = 16

                x   =25.6

   4.   2.4x + 0.5 = 7.5 - 0.5

         2.4  + 1.1  = 7.5 -0.5

                  3.5x = 7

                     x   =2

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