MathLegend
  • MathLegend
Solve this Equation: (I'm stuck this time)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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MathLegend
  • MathLegend
x+5/8 - x-2/2 = 1/3
MathLegend
  • MathLegend
I tried getting common denominators of 24.
MathLegend
  • MathLegend
The whole point is when I did... I got stuck at...

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MathLegend
  • MathLegend
-9x-39/24 = 8/24
MathLegend
  • MathLegend
I factored the first fraction... -3(3x+13)/24=8/24
MathLegend
  • MathLegend
Now I'm stuck...
Mertsj
  • Mertsj
\[\frac{x+5}{8}-\frac{x-2}{2}=\frac{1}{3}\]
anonymous
  • anonymous
|dw:1377917077537:dw|
anonymous
  • anonymous
I think you missed the middle term
MathLegend
  • MathLegend
I had got...
MathLegend
  • MathLegend
3x+15/24 - 12x-24/24 = 8/24
Mertsj
  • Mertsj
\[\frac{3x+15}{24}-\frac{12x-24}{24}=\frac{8}{24}\]
anonymous
  • anonymous
|dw:1377917215124:dw|
anonymous
  • anonymous
Yes now we combine the left
Mertsj
  • Mertsj
\[3x+15-12x+24=8\]
MathLegend
  • MathLegend
Then I combined the first two fractions.
Mertsj
  • Mertsj
\[-9x+39=8\]
Mertsj
  • Mertsj
\[-9x=-31\]
Mertsj
  • Mertsj
\[x=\frac{31}{9}\]
anonymous
  • anonymous
|dw:1377917284082:dw|
MathLegend
  • MathLegend
So when you combined everything to get 31/9 what happened to the denominator of 24?
anonymous
  • anonymous
Now we need to multiply both sides by 24|dw:1377917405045:dw|
Mertsj
  • Mertsj
If the denominators of two equal fractions are the same, then the numerators are equal.
MathLegend
  • MathLegend
oh so they disappear
Mertsj
  • Mertsj
So, I just dropped the denominators. Or you could say, I multiplied both sides of the equation by 24 and the denominators cancelled out.
MathLegend
  • MathLegend
Yeah cancelled... my math vocab is HORRIBLE right now... forgive me!
Mertsj
  • Mertsj
np
anonymous
  • anonymous
|dw:1377917521025:dw|
MathLegend
  • MathLegend
Thanks again @Mertsj , @gypsy1274 , and @ⒶArchie☁✪
Mertsj
  • Mertsj
yw

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