What would be the following system of equations looks like and augmented Matrix?
x+y=5
3x+y=-1

- Notamathgenius

What would be the following system of equations looks like and augmented Matrix?
x+y=5
3x+y=-1

- schrodinger

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- amistre64

what does your work look like?

- Notamathgenius

I haven't done any, I was coming to look for help before I did anything, I don't wanna screw it up.

- amistre64

you have to "screw it up" in order to learn it better

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## More answers

- amistre64

pull off the coeffs, and run your row operations ...

- Notamathgenius

Awww, work darn. I don't have any. I know the answer to the X and Y is (1,4)

- amistre64

the the augment will have to end in a column of 1 4

- Notamathgenius

None have "1,4" its all 3 -1 0 5

- amistre64

assuming youve got the correct 1,4 solution, the augment will have to work out as
x+y=5
3x+y=-1
1 1 5 1 0 1
3 1 -1 to 0 1 4

- terenzreignz

What were those links for?

- Notamathgenius

The Answers.

- amistre64

to be more exact ... the "options"

- Notamathgenius

Yea Options

- amistre64

the solution of Ax = b
(A:b) -> ( I : x)

- Notamathgenius

I think I got the "answer" |dw:1368457593989:dw|

- amistre64

that is not an augment ....

- Notamathgenius

hmm

- Notamathgenius

Let me ask my mom and ill come back if she can't explain it's easier if i can actually see the work being done

- amistre64

and your links are not effective ....

- Notamathgenius

It's because CA locked them -_-

- terenzreignz

How could (1,4) be a solution of 3x + y = -1 ?

- amistre64

magic ::)

- Notamathgenius

It is.

- Notamathgenius

I know it @amistre64 |dw:1368457855932:dw|

- amistre64

that is the start of the augment, yes

- terenzreignz

Well, you have three mods on the case, you can't possibly go wrong now :D

- Notamathgenius

Well I am not really good in matrix, nor algebra. So I need all the help I can get.

- amistre64

assuming: 3x - y = -1 was part of the question

- Notamathgenius

Yes

- amistre64

that is the matrix to augment, but is not the augmented matrix yet

- Notamathgenius

1 thing
why am I learning matrix in 9th grade?

- amistre64

because they are important

- Notamathgenius

But isn't that 11th and 12th grade stuff?

- amistre64

apparently not :)

- Notamathgenius

Gawdddddd
well ok back to the subject

- amistre64

there are 3 basic methods to solving systems of equations:
substitution
elimination
matrix row operations
matrix row operations are really just a combination of the other 2

- Notamathgenius

I was thinking Substitution since I know it better

- amistre64

substitution is not ideal for most situations ... its only effective on the hand picked easy peasy things they give you to practice on

- Notamathgenius

Ohhhh ok :D

- terenzreignz

I figure if you can do elimination, Matrix Row Operations shouldn't be a problem, it's essentially the same thing, without the variables...

- amistre64

most solutions to real world problems require a computer to work on them, and the row operations are better suited to optimize a computers functionality

- Notamathgenius

Ok can we explain to the imbecile (me) how to do so?

- amistre64

row operations are pretty much the elimination method
x + y = 5 : *-3
3x - y = -1
-3x -3y = -15
3x - y = -1
-------------
0x -4y = -16
x + y = 5
0x -4y = -16 : /-4
x + y = 5
0x + y = 4 : * -1
x + y = 5
0x - y = -4
-----------
x + 0y = 1
x+0y = 1
0x + y = 4

- amistre64

a matrix is a way to organize the same setup without the rest of the notation getting in the way

- terenzreignz

Mother of details o.O

- Notamathgenius

Ok i see now :D

- amistre64

it takes some practice, but its fine :) good luck

- Notamathgenius

I will take that too go :D thank you times a million @amistre64

- Notamathgenius

Thank you too @terenzreignz

- terenzreignz

I hardly did anything, but okay, no problem :)

- Notamathgenius

It's fine at least you helped I would medal you too but i cant D: -gives medal- internet medal :D

- terenzreignz

LOL Thanks :)

- anonymous

wat are the answers though im in connections academy

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