A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 5 years ago

Identify the number of solutions for the system below. 2y = 4x + 2 y + 3 = 2x

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

    There are two main approaches to resolve this issue: - See if the determinant is zero. This will tell you if there is a unique solution, or if there are zero or an infinite number of solutions. If it's not unique, it won't tell you if it's zero or an infinity. - Reason geometrically, as follows: For a system with two equations, two unknowns, remember you can think of each equation as a line in an x-y coordinate system. One solution means the lines cross. No solutions means they are parallel. An infinite number of solutions means they are the same line. And remember: - Two lines cross if they don't have the same slope. - Two lines are parallel if they have the same slope and a different y-intercept. - Two lines are identical if they have the same slope and the same y-intercept. Looking at the equations above, you see that they both have the same slope (2), but different y-intercepts (1, and -3). This means you have two parallel lines, and zero solutions.

  2. 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...


  • 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.