MathLegend
  • MathLegend
Solve the Equation:
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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MathLegend
  • MathLegend
x/2 + 1/6 = x/3 (ALL FRACTIONS)
MathLegend
  • MathLegend
I wonder could I multiply one of the denominators?
anonymous
  • anonymous
You can multiply the entire equation by the lowest common denominator, that will eliminate the fractions.

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MathLegend
  • MathLegend
by 6?
anonymous
  • anonymous
Great thinking!!
anonymous
  • anonymous
Yes.
MathLegend
  • MathLegend
But how would that elminate the x/2?
anonymous
  • anonymous
Can 6 be divided by 2?
MathLegend
  • MathLegend
Yeah but we are multiplying them right?
MathLegend
  • MathLegend
6 * 2?
anonymous
  • anonymous
Look at it this way: \(\dfrac{6}{1} \times \dfrac{x}{2}\) You can cancel across the multiplication sign.
MathLegend
  • MathLegend
so I'm multiplying everything by the reciprocal of 1/6
anonymous
  • anonymous
I think I may have confused you. Let's see if Mertsj can clear it up....
Mertsj
  • Mertsj
|dw:1377914196459:dw|
MathLegend
  • MathLegend
Can I just make them common denominators of 12?
anonymous
  • anonymous
You could, but that is extra work.
Mertsj
  • Mertsj
|dw:1377914308087:dw|
MathLegend
  • MathLegend
Common denominator of 6
anonymous
  • anonymous
The first term: \(\dfrac{x}{2} \times 6 = \dfrac{x}{\cancel{2}} \times \dfrac{\cancel{6}(3)}{1} = 3x\)
Mertsj
  • Mertsj
|dw:1377914337612:dw|
MathLegend
  • MathLegend
????
MathLegend
  • MathLegend
Can I do it this way..
MathLegend
  • MathLegend
3x/6 + 1/6 = 2x/6 ?
Mertsj
  • Mertsj
yes
MathLegend
  • MathLegend
So I can make it... 1/6 = -1x/6 ?
MathLegend
  • MathLegend
x = -1???
Mertsj
  • Mertsj
yes
MathLegend
  • MathLegend
Thanks @Mertsj & @gypsy1274
Mertsj
  • Mertsj
yw
anonymous
  • anonymous
Your welcome. Great work!!!

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