Question
upstudy study bank question image url

Solve for \( x \) and \( v \) simultaneously if \( x+3 y-5=0 \) \( \begin{array}{l}2 x-6 y+2=0\end{array} \)

Ask by Mckenzie Spencer. in South Africa
Mar 09,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( x = 2 \) and \( y = 1 \).

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

Mind Expander

To solve for \( x \) and \( y \) simultaneously, we can use the equations provided. First, let's rewrite the equations: 1. \( x + 3y - 5 = 0 \) (let's call this Equation 1) 2. \( 2x - 6y + 2 = 0 \) (let's call this Equation 2) From Equation 1, we can express \( x \) in terms of \( y \): \[ x = 5 - 3y \] Next, we substitute this expression for \( x \) back into Equation 2: \[ 2(5 - 3y) - 6y + 2 = 0 \] Expanding this equation: \[ 10 - 6y - 6y + 2 = 0 \\ 12 - 12y = 0 \] Now, solving for \( y \): \[ 12y = 12 \\ y = 1 \] Next, we substitute \( y = 1 \) back into the expression for \( x \): \[ x = 5 - 3(1) = 5 - 3 = 2 \] Thus, the solution is: \[ x = 2 \quad \text{and} \quad y = 1 \]

Related Questions

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