A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

fefetasprites

  • one year ago

24. 2c/c-4 - 2/1=4/c+5 I know the answer is supposed to be c=-14 but I'm not really sure what the LCD is

  • This Question is Closed
  1. fefetasprites
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ 2c }{ c-4 }-2=\frac{ 4 }{ c+5 }\]

  2. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    LCD = least common denominator = (c-4)*(c+5)

  3. fefetasprites
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I don't understand how that is the LCD, can you please explain?

  4. fefetasprites
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Vocaloid are you still online? I really need help, sorry

  5. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the denominator of the first term is (c-4), correct? the denominator of 2 is 1 the denominator of the third term is (c+5) multiply these together to find the LCD (c-4)*(c+5)*1

  6. fefetasprites
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, so then I have to multiply the other terms by that? Like: \[(c-4*c+5) \frac{ 2c }{c-4 }-(c-4*c+5)2=(c-4*c+5)\frac{ 4 }{ c+5 }\] Is this correct?

  7. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you need to multiply each term by the quantity that will make the denominator equal to (c-4)*(c+5)*1 for example, the first term is 2c/(c-4). since we already have (c-4) in the denominator, we have to multiply by (c+5)/(c+5) to make the denominator equal to (c+5)*(c-4)

  8. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1437776145191:dw|

  9. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1437776222377:dw|

  10. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1437776306510:dw|

  11. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    since all the denominators are the same now, we can cancel out the denominators and look at the numerators only now (c+5)*2c - 2(c-4)(c+5) = 4*(c-4) and now we can solve for c

  12. fefetasprites
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, okay, I see what you're saying sort of So multiplied that would all be \[2c^{2}+10c-2c+8-2c-10c=4c-16\] so i combine like terms and then I just solve for x?

  13. Vocaloid
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

  14. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Double check your work. There is an error on the left of the equal sign. The c^2 term should of disappeared, plus there may be other errors.

  15. fefetasprites
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Vocaloid thank you so much for helping!! @radar was I supposed to cancel out the top c in 2c/c-4 along with cancelling the c-4?

  16. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    After the combining in the numerator your fractions should appear as:|dw:1437783584881:dw|

  17. radar
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1437783743735:dw|

  18. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.