A community for students.
Here's the question you clicked on:
 0 viewing
octoberchick1011
 2 years ago
Solve the system using an augmented matrix. Please show all your steps! Thanks! (:
x 3y = 17
2x 6y = 26
octoberchick1011
 2 years ago
Solve the system using an augmented matrix. Please show all your steps! Thanks! (: x 3y = 17 2x 6y = 26

This Question is Closed

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0can you set up the matrix?

octoberchick1011
 2 years ago
Best ResponseYou've already chosen the best response.0Yes: 1 3  17 2 6  26

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0Your next step is to make the upper left corner equal to 1. How do we do this?

octoberchick1011
 2 years ago
Best ResponseYou've already chosen the best response.0Umm.. I'm not entirely sure  I'm not very good at these types of problems. I think we would multiply by 3 right...?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0What do we multiply 1 by to get 1 ?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.01 times ??? = 1

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0so do this across the entire first row....ie multiply EVERY number in row 1 by 1

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.01 3  17 2 6  26 1 3  17 1*R1 2 6  26

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0The notation 1*R1 means "1 times Row 1"

octoberchick1011
 2 years ago
Best ResponseYou've already chosen the best response.0Okay so it would be: 1 3  17 right?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0yes it would be

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0The upper left corner is a 1. This is known as the pivot (for the first column). Everything thing else must be a zero in order to obtain the solutions for x and y. So how to we turn that 2 (below the pivot of 1) into a 0 ?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0oh sry, i made a typo the second row should be 2 6  26 instead of 2 6  26

octoberchick1011
 2 years ago
Best ResponseYou've already chosen the best response.0You would make the 2 a zero my by multiplying it by 0..? I think..

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0well if you did that, everything in row 2 would become 0

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0then you'd get 0x + 0y = 0...which is completely useless now

octoberchick1011
 2 years ago
Best ResponseYou've already chosen the best response.0Oh. That's true..

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0Instead, you can add/subtract multiples of row 1 to row 2

octoberchick1011
 2 years ago
Best ResponseYou've already chosen the best response.0So does that mean we would subtract 2 from row 2?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0Notice in the first column we have 1 2

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0If we subtract row 1 from row 2, we get 2  1 = 1 But that's not zero However, if we subtract row 1 (twice) from row 2, we get 2  1  1 = 0

octoberchick1011
 2 years ago
Best ResponseYou've already chosen the best response.0Okay. So does that mean that row 2 looks like this now: 0 6  26

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.06  2*(3) = 12 so the 2nd element in row 2 is 12

octoberchick1011
 2 years ago
Best ResponseYou've already chosen the best response.0Ugh, I'm so confused  lol, these kinds of probles frustrate me! :P

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.026  2*17 = 60

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0so the 3rd element in row 2 is 60

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0after this, you should have 1 3  17 0 12  60
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.