A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

2y+3/y = 3/2 rational expression help

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

    @Ashleyisakitty @poopsiedoodle @whpalmer4 @blahhedup101

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

    are you trying to solve an equation?

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

    \[2y+\frac{3}{y}=\frac{3}{2} \\ \text{ multiply both sides by } y \neq 0 \\ y(2y+\frac{3}{y})=y(\frac{3}{2} )\\ y(2y)+y(\frac{3}{y})=\frac{3}{2}y \\ 2y^2+3=\frac{3}{2} y \\ \text{ if you don't want \to deal with any fractions multiply both sides by 2 } \\ 4y^2+6=3y \\ \text{ subtract} 3y \text{ on both sides } 4y^2-3y+6=0\] you have a quadratic equation to solve. but the equation you wrote is probably not the equation you meant you probably meant \[\frac{2y+3}{y}=\frac{3}{2}\] though I could be wrong about that too you did say rational expression after all and you have an equation composed of rational expressions on left and right side

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

    and if you meant the last equation I wrote which is (2y+3)/y=3/2 I would still multiply both sides by y and 2

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

    \[2(2y+3)=3(y) \\ 4y+6=3y \]

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

    @freckles than what

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

    you solve for y

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

    And I still don't know what equation you mean

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

    @freckles The second equation you showed

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

    ok do something to get your y terms on one side

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

    @freckles Thanks

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

    what did you get?

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

    \[2(2y+3)=3(y) \\ 4y+6=3y\] You subtracted 4y on both sides right?

  14. 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.