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octoberchick1011
 3 years ago
Solve the system using an augmented matrix. Please show all your steps! Thanks! (:
x 3y = 17
2x 6y = 26
octoberchick1011
 3 years ago
Solve the system using an augmented matrix. Please show all your steps! Thanks! (: x 3y = 17 2x 6y = 26

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

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

jim_thompson5910
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0What do we multiply 1 by to get 1 ?

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

jim_thompson5910
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0The notation 1*R1 means "1 times Row 1"

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

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

jim_thompson5910
 3 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
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.0well if you did that, everything in row 2 would become 0

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

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

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

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

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

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

octoberchick1011
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.026  2*17 = 60

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

jim_thompson5910
 3 years ago
Best ResponseYou've already chosen the best response.0after this, you should have 1 3  17 0 12  60
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