Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
What is the solution to the rational equation 3/2  1/x+5 = 2/2x + 10
 one year ago
 one year ago
What is the solution to the rational equation 3/2  1/x+5 = 2/2x + 10
 one year ago
 one year ago

This Question is Closed

lindseyharrisonBest ResponseYou've already chosen the best response.0
dw:1346443313054:dw
 one year ago

lindseyharrisonBest ResponseYou've already chosen the best response.0
x = 5 x = 5/2 x = 5 No solution
 one year ago

campbell_stBest ResponseYou've already chosen the best response.0
ok... simplify the fraction on the rhs 2/(2x + 10) = 2/2(x + 5) = 1/(x + 5) so you have 3/2  1/(x + 5) = 1/(x + 5) add 1/(x + 5) to both sides for your solution
 one year ago

lindseyharrisonBest ResponseYou've already chosen the best response.0
It's no solution
 one year ago

CliffSedgeBest ResponseYou've already chosen the best response.0
You don't need to simplify the right side. \[\frac{3}{2}\frac{1}{x+5}=\frac{2}{2x+10}.\] Simplify the left side: \[\frac{3}{2}\frac{1}{x+5}=\frac{3x+13}{2x+10} .\] With same denominators, now you only need to solve the numerator equation, 3x+13=2 which indeed has no solution because if x=5 then division by zero.
 one year ago
See more questions >>>
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.