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3/x-3=6/8

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williamjay | Student, Grade 10 | eNotes Newbie

Posted April 20, 2010 at 2:17 AM via web

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3/x-3=6/8

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neela | High School Teacher | (Level 3) Valedictorian

Posted April 20, 2010 at 2:21 AM (Answer #1)

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3/x-3=6/8.To solve for x .

The left side of the equation has two terms separated by a minus operator.

The  unknown  term is 3/x.  Retain it on left and nullify the other numerical term -3 to right side by adding 3 to both sides.

3/x-3+3= 6/8+3. Or

3/x = (6+3*8)/8 =30/8. Taking reciprocal,

x/3 = 8/30.  Multiplying by 3 both sides,

x = 8*3/30 = 8/10 = 0.8

Note: 3/x-3 is different from 3/(x-3).

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pohnpei397 | College Teacher | (Level 3) Distinguished Educator

Posted April 20, 2010 at 2:26 AM (Answer #2)

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I read this equation as 3/(x-3) = 6/8.  If that is how you meant it to be, the answer to the question ends up being x = 7.  Here's how to get there.

First, multiply both sides by (x-3).  That gets you

3 = .75 (x-3)

Multiply out the right side of the equation.

3 = .75x - 2.25

Add 2.25 to both sides and you get

5.25 = .75x

So then you need to divide both sides by .75 to get one side to just be x.

When you do that, you get

x = 7

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