A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

system of equation y=x^2+3 y=x+5

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

    if anyone could show me the steps?

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

    We generally use one to solve the other. Start with simplest. y = x + 5 y(-5) = x+ 5 (-5) y- 5 = x therefore substituting in eq .1 we get: y = (y-5)^2 +3 y = (y^2 -10y +25) + 3 y = y^2 -10y + 22 subtract y from both sides to get: 0 = y^2 -9y + 22 solve to get: |dw:1439459437832:dw|

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

    |dw:1439459686316:dw|

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

    so @BPDlkeme234 so the answer is 9 +or- 72over 22

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

    y = (y-5)^2 +3 y = (y^2 -10y +25) + 3 this should actually come to y^2-10y-y+25+3=0 y^2-11y+28=0 can you finish solving for y y^2-11y+28 is factorable

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

    @myininaya how would I factor y^2

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

    why would you want to factor y^2?

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

    y^2 is already in factored form... I was wanting you to factor y^2-11y+28

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

    what two numbers multiply to be 28 and add up to be -11?

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

    y7 and y4 @myininaya

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

    -7(-4)=28 -7-4=-11 so y^2-11y+28=(y-7)(y-4)

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

    so you can solve (y-7)(y-4)=0 by solving both y-7=0 or y-4=0

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

    once you find the y's then plug each y into: \[x=y-5\]

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

    I still do not understand why im sorry im vary lost @myininaya

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

    understand what exactly?

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

    factoring?

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

    if you don't understand how to factor you can use the quadratic formula since it is a quadratic equation

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

    \[ax^2+bx+c=0 \\ \implies x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]

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

    \[y^2-11y+28=0 \\ \implies y=\frac{-(-11) \pm \sqrt{(-11)^2-4(1)(28)}}{2(1)}\] do you understand how to simplify this?

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

    I don't know how to find the answer I thought he answer was y7 and x4

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

    before we can find the ordered pairs we have to find the y values do you know how to solve the equation y^2-11y+28=0?

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

    when you say things like y7 does that mean y=7?

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

    if so when you said "y7 and y4 " which actually in your case means y=7 or y=4 then that is right for the y's... now you had x=y-5 now if y=7 then x=7-5=? and if y=4 then x=4-5=? so the ordered pairs are (7-5,7) (4-5,4)

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

    just need to simplify the x-coordinates for each point

  25. 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.