anonymous
  • anonymous
Solve for x: 4x divided by x-3 = 2 + 12 divided by x-3 ...?
Mathematics
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anonymous
  • anonymous
Solve for x: 4x divided by x-3 = 2 + 12 divided by x-3 ...?
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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watchmath
  • watchmath
Is that correct that the numerator of the right side is 2+12? or is that 2x+12 ?
anonymous
  • anonymous
yes it's correct. but the 2 is not part of the numerator..just the 12
watchmath
  • watchmath
So is it like this? \(\frac{4x}{x-3}=2+\frac{12}{x-3}\)

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anonymous
  • anonymous
yes.
watchmath
  • watchmath
Ok, multiply the equation by \(x-3\) we get \(4x=2(x-3)+12\) \(4x=2x-6+12\) \(2x=6\) \(x=3\) But if we plug in back \(x=3\) to the original equation we are in trouble because we divide by zero. So the equation has no solution!.
anonymous
  • anonymous
Thanks!

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