Question
upstudy study bank question image url

and

Ask by Bush Harper. in South Africa
Mar 11,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

and .

Solution

Solve the system of equations .
Solve the system of equations by following steps:
  • step0: Solve using the substitution method:
  • step1: Solve the equation:
  • step2: Substitute the value of
  • step3: Simplify:
  • step4: Move the constant to the right side:
  • step5: Subtract the numbers:
  • step6: Change the signs:
  • step7: Divide both sides:
  • step8: Divide the numbers:
  • step9: Substitute the value of
  • step10: Calculate:
  • step11: Calculate:
  • step12: Check the solution:
  • step13: Rewrite:

    The solution to the system of equations and is and .

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Extra Insights

To understand the beauty of systems of equations, let’s dive into their historical background! The roots of linear equations go back to ancient civilizations, where mathematicians like Babylonian scribes used geometrical methods to solve problems similar to our modern systems. Fast forward to the 17th century, and we have René Descartes who laid down the groundwork for algebra and geometry, bringing us closer to what we use today!
Now, let’s look at real-world applications! Systems of equations are everywhere, from planning production schedules in factories (where you need to balance inputs and outputs) to economics, where they help determine supply and demand. Engineers use these equations to design bridges or buildings, ensuring safety and stability by finding the optimal material distribution. So, next time you solve a system, remember you’re tapping into a rich tapestry of human innovation!

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