Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mkumar441 Group Title

How can you say the set of linear equations are solvable or not? For example: 2x+3y=4 x+2y=3 have a solution?. Based on what you say whether they have solution or not?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. hama Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    You try to solve it and see if the result is correct. In this example, you multiply the second equation by 2 making it 2x + 4y = 6 and then you subtract the new second from the first to get rid of x and get -y = -2 i.e. y = 2. You substitue this value in either equation to get x = -1 and since it checks out for both equations, then it's solvable and the solution is {-1,2}

    • 2 years ago
  2. mkumar441 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you for your reply

    • 2 years ago
  3. precal Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    if both lines cross at one point, then it has one solution|dw:1341765726344:dw|

    • 2 years ago
  4. precal Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    if both lines do not cross, then they have no solutions|dw:1341765746321:dw|

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

    if both lines are the same, then since they cross in many points, then they have infinitely many solutions|dw:1341765783010:dw| image they are both straight lines

    • 2 years ago
    • Attachments:

See more questions >>>

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.