A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

how do i find the points to graph these two linear sentences x+2y<=12 and 3x-y>=6? Please show all work.

  • This Question is Closed
  1. Owlfred
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

  2. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you graph the boundary lines: x+2y = 12 and 3x-y = 6

  3. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    pick a point not on the line; (0,0) is an easy testing point

  4. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and if those make the equation true; then the side with that point is good, shade it; if false, go with the other side

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ah so you can start with any natural number then and plug it into the formula? or no?

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    equation*

  7. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you can, but it helps to see that these are line equations; and you just need 2 points to draw a line with right?

  8. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the lines themselves are boundaries for the inequalities; so graph them first;

  9. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x+2y = 12 and 3x-y = 6; graph these lines so you establish the boundaries for the inequalitites

  10. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then pick a point that is NOT on the line to test for a result. that point will be on one side or the other of the line right? The most conviennt point to test is the origin: (0,0) x+2y<=12 and 3x-y>=6 0+2(0)<=12 and 3(0)-(0)>=6 0 <= 12 and 0 >=6 true false

  11. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    all the points that make a true stament get shaded; all th epoints that make it false... shade the other side of the line

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay i get it use typing it out really help me... :D

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

    lol you* typing it out...

  14. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    school comp is slow lol

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its so weird maybe im asking the wrong question because my book is giving me 2 lines not one for the answer

  16. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the answer has 2 lines; I just demonstrated with 1

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    o sorry i get it now. i was confused for a second so then i can use the same points (0,0) for the second variable correct?

  18. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    more like this yes, as long as (0,0)aint on the line your testing, its the easiest one to use

  19. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it is the common area that the two have that are solutions

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    gd i still am confused so now that we have that one line how do we plot the other line? because in the above answer you plug (0,0) into both variables

  21. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lemme just write this out and see if i can figure it out before i frustrate you.

  22. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you really make 2 solution sets and where they overlap, is the area I shaded

  23. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how do i give you a good review?

  24. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you might have to hit f5 to refresh your browser and youll see a 'good answer' button next to my name

    1 Attachment
  25. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    know a good free graphing programing?

  26. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    program*

  27. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hmmm.... i use wolframalpha.com alot ; but it suits me

  28. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    http://www.wolframalpha.com/input/?i=3x-y%3E%3D6+and++x%2B2y%3C%3D12

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

    tyvm

  30. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    youre welcome :)

  31. 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.