Question
upstudy study bank question image url

g. \( \frac{10}{2 x-1}=8 \)

Ask by Gross Hamilton. in the United States
Mar 16,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( x = \frac{9}{8} \)

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

To solve the equation \( \frac{10}{2 x-1} = 8 \), start by cross-multiplying to eliminate the fraction. This gives you \( 10 = 8(2x - 1) \). Expanding the right side results in \( 10 = 16x - 8 \). Next, add 8 to both sides, yielding \( 18 = 16x \). Finally, divide both sides by 16 to isolate \( x \), giving you \( x = \frac{18}{16} = \frac{9}{8} \). Double-checking solutions is key! After all the hard work of solving, it's easy to skip the final confirmation step. Plugging \( x = \frac{9}{8} \) back into the original equation gives \( \frac{10}{2(\frac{9}{8})-1} = \frac{10}{\frac{18}{8}-1} = \frac{10}{\frac{10}{8}} = 8\), confirming your solution is correct. Always a good practice—math can be tricky, and mistakes can slip in easily!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy