Question

elimination method 7r-6s=36
6r+7s=43 ordered pair solution (-13,6) is this right??

Answer 1

7r-6s=36
6r+7s=43

r = (36 + 6s)/7
r = (43-7s)/6

r = r

6(36 + 6s) = 7(43 - 7s)
216 + 36s = 301 - 49s
301 - 216 = 85s
85 = 85s
85/85 = s
1 = s

Answer 2

r = 6

Answer 3

(7r-6s=36)-6
(6r-7s=43)7

-42r+36s=-216
42r-49s=301

13s=85

Answer 4

s=85/13

Answer 5

Chris, (r,s) = (6,1) is the solution

Answer 6

-85/13 oops

Answer 7

ok how is what you did elimination method?

Answer 8

If you want me to prove it to you, I will

Answer 9

Because I eliminated r variable, then solved for s

Answer 10

It's just not elimination method you're used to. Besides, my methods get the correct answer. I can't really speak for the elimination methods you're used to.

Answer 11

please do i have never seen your way

Answer 12

I invented my way, that's why. If you use x and y as variables you'll see why.

Answer 13

always inte

Answer 14

I invented a plethora of approaches to math that make much more sense than methods taught in school. Some of which are pretty silly and potentially confusing.

Answer 15

You can prove it to yourself by plugging in r = 6 and s = 1 back into the original equations

Answer 16

Chris Chris Chris..

Answer 17

lol i asked him to teach me? what?

Answer 18

i am sure i made a mistake somewhere but i was interested in his method

Answer 19

The method I use, you've been taught it already.

Answer 20

y = mx+b

If you have an equation with x and y on the same side, and you want to isolate y, say, for graphing reasons, you can do that. In this case, I isolated r, which would be y. I do this so that it's easier to solve systems of equations, also I can graph the equations I isolated on a graph to check them. So I'm doing two thing by using my method. I'm providing a way to check my answer graphically, and I'm finding an easier, simplier way to solve the more difficult systems of equation problems.

Answer 21

oh i already looked at what you did but to me its a lot like the susbstitution methos instead of the elimination method asked in the question

Answer 22

7y-6x=36
6y+7x=43

y = (36 + 6x)/7 <---I graph this to check
y = (43-7x)/6 <---and this too

y = y

6(36 + 6x) = 7(43 - 7x)
216 + 36x = 301 - 49x
301 - 216 = 85x
85 = 85x
85/85 = x
1 = x
6 = y

Answer 23

you must realize that some instructors would want to see that problem done by instruction instead of substituting for r

Answer 24

but im not arguing, just making an observation

Answer 25

I would argue that I did eliminate one variable while solving.

Answer 26

what you did was solve each equation for r then set them equal

Answer 27

Either way, no one has yet to post the solution you're looking for.

Answer 28

I figure that maybe you would but instead you want to argue with me.

Answer 29

well im justsaying what you did is almost the exact definition of the substitution method

Answer 30

Chris, everyone is waiting for you to post the "correct" solution.

Answer 31

well ok ill show you

Answer 32

I posted my solution because I don't care much for the elimination method as you know it.

Answer 33

but im not arguing

Answer 34

Whatever you say man :P

Answer 35

i unsderstand that, and if the question didnt ask for a specific method i would agree with you

Answer 36

im not trying to argue with you at all

Answer 37

(7r-6s=36)-6
(6r-7s=43)7

-42r+36s=-216
42r+49s=301

85s=85
s=1

Answer 38

I posted a solution since no one had posted one yet. And by technicality, I did indeed eliminate r variable by substitution.

Answer 39

that would be elimination method

Answer 40

same answer just different method

Answer 41

Well, it's about time...only took about a whole hour for someone to do it.

Answer 42

if they had asked them to do it susbstitution method, you answer is absolutely correct

Answer 43

there is just two different methods

Answer 44

If it has to take an hour to post the solution, I'd rather stick with my methods...

Answer 45

well just realize there are two methods and when it asks you do do it that way for college per say, then the other method would be wrong

Answer 46

even though the answer is the same

Answer 47

I'm just happy the correct solution is finally posted. I just posted my solution for fun.

Answer 48

heh no problem man, just do not want you to think I am arguing

Answer 49

I know, you're just trying to get your point across while I'm trying to get mine across. No one in their right minds would consider that arguing :P

Answer 50

lol i call it debating

Answer 51

one of us will come up with the right answer eventually

Answer 52

debating = formal argument

Answer 53

it sounds nicer though

Answer 54

This must have been how it was like when Leibnitz and Newton was arguing over who invented Calculus

Answer 55

lol

Answer 56

Good night Chris...

Answer 57

night