Question
upstudy study bank question image url

Solve using substitution. \[ \begin{array}{l}y=-6 x+7 \\ y=-2 x-1\end{array} \] \( (\square, \square) \)

Ask by Guerrero Mcfarlane. in the United States
Mar 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The solution is \( (2, -5) \).

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

Beyond the Answer

To solve the system using substitution, you can start with the first equation \( y = -6x + 7 \) and substitute this expression for \( y \) in the second equation. Replacing \( y \) in the second equation, you get: \[ -6x + 7 = -2x - 1. \] Now, solve for \( x \) by first moving all terms involving \( x \) to one side: \[ -6x + 2x = -1 - 7. \] This simplifies to: \[ -4x = -8, \] leading to: \[ x = 2. \] Substituting \( x = 2 \) back into the first equation gives: \[ y = -6(2) + 7 = -12 + 7 = -5. \] So the solution to the system is \( (2, -5) \). Now we can box the answer: \( (2, -5) \)

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