Homework Help

Solve `(3x)/4=7+x/6`back slash indicates fraction...3x over 4=7 +x over 6

user profile pic

patriciabmcca... | High School Teacher | eNoter

Posted July 28, 2012 at 2:43 PM via web

dislike 1 like

Solve `(3x)/4=7+x/6`

back slash indicates fraction...3x over 4=7 +x over 6

2 Answers | Add Yours

user profile pic

cavincavin | eNoter

Posted July 28, 2012 at 2:59 PM (Answer #1)

dislike 2 like

3x/4 = 7 + x/6

3x/4 -x/6 = 7

9x/12 - 2x/12 = 7

7x/12 = 7

7x = (7).(12)

7x = 84

x = 84/7

x = 12

user profile pic

Mary Joy Ripalda | High School Teacher | (Level 3) Educator

Posted July 28, 2012 at 3:02 PM (Answer #2)

dislike 1 like

  `(3x)/4 = 7 + x/6`

To simplify, multiply both sides by the LCD of the two fractions `(3x)/4` and `x/6` . Note that the LCD is 12.

 `12 * ((3x)/4) = (7 + x/6) * 12`

        `9x = 84 + 2x`

Then, bring together the terms with x by subtracting both sides by 2x.

 `9x - 2x = 84 + 2x -2x`

        `7x = 8 4`

Divide both sides by 7, to isolate x.

        `(7x)/7 = 84/7`

        `x = 12`

The solution is x=12 . 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes