A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Medal Solve the following system of equations by any method. x + y = 32 x + z = 39 y + z= 47

  • This Question is Closed
  1. LynFran
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    which method u prefer to use

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    addition

  3. LynFran
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what i meant was elimination , substitution ... matrix

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    substitution

  5. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Subtract the 2nd from the 1st to get y-z=-7

  6. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Then you'll have : y-z =-7 y+z=47 Add the equations together to eliminate z then solve for y.

  7. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That's the easiest approach here.

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y = 0 z = 0

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -7 + 47 = 40

  10. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You should have gotten 2y=40 not y=0

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh sorry i subtracted

  12. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes I know. Be careful

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    whats the next step

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @LynFran do you understand this

  15. LynFran
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    here ur substitution method and yes i know all 3 method thats y i ask which u prefer ok we can rewrite the 3rd equation as y=47-z we can also rrewrite the 2nd equation to get x=39-z now subs the 2 equations about into the 1st equation to get x+y=32 39-z+47-z=32 86-2z=32 86-32=2z 54=2z 27=z now sub z=27 into the 3rd equation above to get y+z=47 y+27=47 y=47-27 y=20 now sub y=20 into 1st equation to get x+y=32 x+20=32 x=32-20 x=12

  16. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Elimination is the simplest and most efficient method to Use here.

  17. LynFran
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yea i agree but @harz360 prefer substitution

  18. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The goal is to solve using the least amount of steps

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    when i see all the steps thats when i understand it

  20. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It's a matter of efficiency not preference.

  21. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I would have taken the first 2 equations...and eliminated the x's...then go from there

  22. LynFran
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    me too

  23. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Exactly .

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but thanks a lott @LynFran

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @Hero thanks so much

  26. LynFran
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    here the elimination method using 1st and 2nd equation subtract we get y-z=32-39 now using the 3rd equation subtract y-z=-7 y+z=47 we get -z-z=-7-47 -2z=-54 z=-54/-2 z=27 now sub z=27 into 3rd equation we get y+z=47 y=47-27 y=20 now sub y=20 in 1st equation we get x+y=32 x+20=32 x=32-20 x=12

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    this method seems confusing by the subtraction method seems easier to follow

  28. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    That WAS the subtraction method. Lyn just wrote it awkwardly

  29. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh i c

  30. LynFran
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no thats the elimination method in details

  31. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Subtraction/Elimination Method

  32. Hero
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Interchangeable description

  33. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohh i understand both when i see the steps which lyn has shown nicely

  34. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.