A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Solve the system, using substitution. 4x + y = 4 and y = 4 - 4x A. no solution B. infinitely many solutions I put A is this correct?

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

    YES

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

    No, that is incorrect. The answer is B.

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

    Im getting mixed signals...

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

    there are infinite solutions

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

    lol. since 4=4 i don't think there is infinite solutions

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

    $$(x,y) = (1, 0)$$ is an answer.

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

    as is $$(x,y)=(1/2, 2)$$.

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

    nomothetis how did you get this ?

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

    I am getting a little MORE confused... ^_^ lol so many diff answers!!

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

    just try some (x,y) = (0.5, 2) is another solution

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

    :P sorry i am retaking stuff from like the beginning of the year :P So then do u all agree with jimmy?

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

    Here's how you prove that you have an infinite number of solutions: Can you make get equation 2 by multiplying equation 1 by something? Let's consider it: $$4x + y = 4$$ This is the same thing as: $$y = 4 - 4x$$ Since all we need to do is pass the x to the other side. So the two equations are really the same equation. So any points that is a solution for the first equation will work for the second equation. But if you look at the first equation, you see that it's the equation for a line. Therefore, any point on that line will be a solution to the second equation as well. This means that you have an infinite number of solutions.

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

    oh nomo siad that one try (x,y) = (0.25,3) then!!!

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

    Ok so its B?!?!?! are we positive on this answer now? lol

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

    i don't agree since it clearly states that "solve by substitution"

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

    B) is correct, even if you use substitution. The substitution gives 4=4 which means that the statement is always true for any (x,y) as long as (x,y) is on the line 4x+y=4.

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

    right nomo - the 2 equations are the same and u can fit infinite values of x and corresponding values of y into the equation

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

    ok i see. that makes sense watchmath

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

    absolutely positively b !! lol

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

    Okay!! haha finally!! (: lol

  21. 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.