A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
What is the solution to the rational equation 4/3+3/x+5=21/3x+15 ?
anonymous
 4 years ago
What is the solution to the rational equation 4/3+3/x+5=21/3x+15 ?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.04/3+3/x+5 = 21/3x + 15 4/3+5 + 3/x = 7/x + 15 4/3+515 = 7/x+3/x 8  2/3 = 10/x x = 10/(82/3)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[4/3+3/x+5=21/3x+15\] First you simplify the equation by combining like terms and simplifying fractions: \[6 \frac{1}{3} +\frac{3}{x}=\frac{7}{x}+15\] Then you use the subtraction property of equality and subtract \[(\frac{3}{x}+15)\]from both sides and get: \[8\frac{1}{3}=\frac{4}{x}\] When you multiply both sides by x you get: \[\frac{25}{3}x=4\] Divide both sides by the coefficient of x to get that \[x=\frac{12}{25}\] :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.04/3 + 3/(x+5) =21/(3x+15) 4(x+5)+9 21  =  3(x+5) 3(x+5) 4x+20+9=21 4x+29=21 4x=2129 4x=8 x=8/4 x=2
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.