Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Solmyr

  • one year ago

What is the value of the x variable in the solution to the following system of equations? 3x + y = 1 6x + 2y = −9 0 2 There is no x value as there is no solution to this system x can be any value as there are infinitely many solutions to this system

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

    There is no solution (if you consider the graphs of these lines they will never intersect since they are parallel)

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

    notice that if you divide the 2nd equation by 2 (both sides of the = sign, all terms) you get 3x + y = -9/2 your 2 equations are now 3x + y = 1 3x + y = -9/2 a "solution" is an (x,y) pair that works in both equations. Say we find an (x,y) pair that "works" for the 1st equation. (in other words 3x+y will be 1) then in the 2nd equation, we know 3x+y is 1, and we get 1= -9/2 which is not true. This tells us there is no solution, no (x,y) pair that works for both equations.

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

    Or using BAdhi's idea change both equations to slope-intercept form 3x + y = 1 ---> y = -3x+1 6x + 2y = −9 --> y = -3x -9/2 these lines have the same slope, but different y intercepts. They are parallel lines and never intersect. that means there is no (x,y) pair that sits on both lines. (which is what would happen if the lines intersected). So, no solution

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

    ok thank you for the help

  5. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.