Question
upstudy study bank question image url

h) \( 3 y+9=8 y-45= \)

Ask by Turner Cook. in Mexico
Mar 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

La solución es \( y = \frac{54}{5} \).

Solution

1. Tenemos la ecuación: \[ 3y + 9 = 8y - 45 \] 2. Restamos \(3y\) a ambos lados para aislar el término con \(y\): \[ 3y + 9 - 3y = 8y - 45 - 3y \quad \Longrightarrow \quad 9 = 5y - 45 \] 3. Sumamos 45 a ambos lados para despejar el término con \(y\): \[ 9 + 45 = 5y - 45 + 45 \quad \Longrightarrow \quad 54 = 5y \] 4. Dividimos ambos lados entre 5 para obtener el valor de \(y\): \[ y = \frac{54}{5} \] 5. Por lo tanto, la solución es: \[ y = \frac{54}{5} \]

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

To solve this equation, let's break it down into manageable steps! First, we have \(3y + 9 = 8y - 45\). Start by getting all the terms involving \(y\) on one side and constant terms on the other side. Subtract \(3y\) from both sides: \(9 = 8y - 3y - 45\) This simplifies to: \(9 = 5y - 45\) Next, add \(45\) to both sides: \(54 = 5y\) Now, divide both sides by \(5\): \(y = \frac{54}{5} = 10.8\) And there you have it! The solution is \(y = 10.8\). Now, it’s time to check your solution by substituting it back into the original equation to ensure both sides are equal. Happy solving!

Latest Algebra Questions

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