A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Determine whether the point (2, 0) is a solution to the system of equations. Explain your reasoning in complete sentences.

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

    just put these point in the place of variable and if they satisfy the equeation then they are solution sets ......

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

    how do I know if they satisfy them? I plugged it in and i got g(x) = 8 and f(x) = 2

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

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

    That is a picture of the graph they gave us

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

    where tow lines will cut each other i will be the solution set of equeations...

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

    Oh okay so it should be (0,2) ?

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

    @whpalmer4

  8. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If you have a graph showing all of the equations, any solution to all of the equations will be a point at which all of the equations intersect. Is (2,0) such a point?

  9. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    For the same value of \(x\), both \(f(x)\) and \(g(x)\) must be equal for that value of \(x\) to be a solution.

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

    Oh so I just plug in 2 for x in both of my solutions and 0 for y?

  11. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y = f(x) = |x-1|+1\]\[y = g(x) = 3x+2\]If we think \(x=2\) might be a solution, then \[f(2) = g(2)\]but \[f(2) = |2-1|+1 = 2\]and \[g(2) = 3(2) +2 = 8\] and those are not equal...

  12. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes, you could also do it that way as a check: \[0 = f(2) = |2-1|+1\checkmark\]so far, so good, but let's try the other equation, which also must work: \[0 = g(2) = 3(2)+2 = 8\]Bzzt, wrong! So \((2,0\) is NOT a solution to that system of equations.

  13. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry, \((2,0)\) is not a solution

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

    Okay thats what I thought. Thank you.

  15. 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.