A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Solve the following system of equations and show all work. y = x2 + 3 y = x + 5

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I know we have to multiply them by something to be able to cross the variables out or something, I'm not sure

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

    i have a better idea

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

    since the y's have to be the same, set \[x^2+3=x+5\] and solve the resulting quadratic equation

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

    \[x^2-x-2=0\] etc

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

    x=2, -1?

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

    seems reasonable find the y values too

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

    I actually do not now how

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

    I skimmed over everything and i'm regretting it at the moment

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

    of course you know how!

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

    you know \(x=2\) replace \(x\) by 2 in either \(y=x^2+3\) or \(y=x+5\)

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

    you will get the same number in both cases (since they intersect there) then repeat with \(x=-1\)

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

    you can do it in your head right?

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

    Yes, 7.

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

    so one solution is \((2,7)\) and the other you get when \(x=-1\)

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

    I'm not fully understanding, I'm sorry :( could you explain?

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

    you found two solutions for \(x\) right?

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

    one is \(x=2\) and if \(x=2\) the \(y=7\) in both equations so one point of intersection is \((2,7)\)

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

    the other solution you got was \(x=-1\) and if you replace \(x\) by \(-1\) in either equation above you get \(4\)

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

    since \(y=-1+5=4\) and also \(y=(-1)^2+3=4\)

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

    therefore the other point of intersection (there are two of them, one for each \(x\)) is \((-1,4)\)

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

    how is that for an explanatation? not sure i can do any better except maybe it is worth mentioning that the graph of \(y=x^2+3\) is a parabola, and it intersects the graph of \(y=x+5\) (a line) in two places

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

    So the final answer would be (-1,4)?

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

    no there are two answers

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

    And (2,7)?

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

    righhhhhht

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

    Great. Thank you :)

  27. 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.