Question
upstudy study bank question image url

Match the equation on the left with the appropriate ordered pair solution on the right. \[ \begin{array}{l} 2 x+3 y=-10 \\ -3 x-5 y=1 \\ -2 x+y=10 \end{array} \] (1, -4) \( (-3,4) \)

Ask by Bradley Erickson. in the United States
Jan 24,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\((1, -4)\) matches \(2x + 3y = -10\) and \((-3, 4)\) matches \(-2x + y = 10\).

Solution

Sign in to Unlock Answers for Free!

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

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

Bonus Knowledge

To solve these equations, we can substitute the ordered pairs into each equation to see which one satisfies them. For the equation \(2x + 3y = -10\), substituting the pair (1, -4) gives \(2(1) + 3(-4) = 2 - 12 = -10\); thus, (1, -4) is a solution to this equation. For the second equation \(-3x -5y = 1\), substituting (-3, 4) gives \(-3(-3) - 5(4) = 9 - 20 = -11\), which does not satisfy this equation. Now, checking the third equation \(-2x + y = 10\), substituting (1, -4) gives \(-2(1) + (-4) = -2 - 4 = -6\), not satisfied. However, substituting (-3, 4) gives \(-2(-3) + 4 = 6 + 4 = 10\), which satisfies this equation. In summary, (1, -4) solves the first equation, while (-3, 4) solves the second and third equations.

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