A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Here's an example: 1/2(y1/6)+2/3=5/6+1/3(1/23y) I get y=5/6 and that's wrong.
anonymous
 5 years ago
Here's an example: 1/2(y1/6)+2/3=5/6+1/3(1/23y) I get y=5/6 and that's wrong.

This Question is Closed

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0So we have: \[\frac{1}{2}\left(y  \frac{1}{6}\right) + \frac{2}{3} = \frac{5}{6} + \frac{1}{3}\left(\frac{1}{2}  3y\right) \] First off, let's distribute the fractions outside the parentheses: \[\frac{1}{2}y  \frac{1}{12} + \frac{2}{3} = \frac{5}{6} + \frac{1}{6}  \frac{3}{3}y\] Then we can combine like terms: \[\begin{align} \frac{1}{2}y  \frac{1}{12} + \frac{8}{12} &= \frac{6}{6}  y\\ \frac{1}{2}y  \frac{7}{12} &= 1  y \end{align}\] Then we can move all the \(y\)s to the left and all the non\(y\) terms to the right: \[\frac{1}{2}y + y = 1 + \frac{7}{12} \] If we combine like terms again: \[\begin{align} \frac{1}{2}y + \frac{2}{2}y &= \frac{12}{12} + \frac{7}{12}\\ \frac{3}{2}y &= \frac{19}{12} \end{align}\] And then we can solve for y: \[\begin{align} 3y &= 2\frac{19}{12}\\ &= \frac{19}{6}\\ y &= \frac{\frac{19}{6}}{3}\\ &= \frac{19}{6\cdot 3}\\ &= \frac{19}{18} \end{align}\] Make sense?
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.