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

- anonymous

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

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- Hero

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

- Hero

r = 6

- anonymous

(7r-6s=36)-6
(6r-7s=43)7
-42r+36s=-216
42r-49s=301
13s=85

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## More answers

- anonymous

s=85/13

- Hero

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

- anonymous

-85/13 oops

- anonymous

ok how is what you did elimination method?

- Hero

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

- Hero

Because I eliminated r variable, then solved for s

- Hero

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.

- anonymous

please do i have never seen your way

- Hero

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

- anonymous

always inte

- Hero

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.

- Hero

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

- anonymous

Chris Chris Chris..

- anonymous

lol i asked him to teach me? what?

- anonymous

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

- Hero

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

- Hero

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.

- anonymous

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

- Hero

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

- anonymous

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

- anonymous

but im not arguing, just making an observation

- Hero

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

- anonymous

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

- Hero

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

- Hero

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

- anonymous

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

- Hero

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

- anonymous

well ok ill show you

- Hero

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

- anonymous

but im not arguing

- Hero

Whatever you say man :P

- anonymous

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

- anonymous

im not trying to argue with you at all

- anonymous

(7r-6s=36)-6
(6r-7s=43)7
-42r+36s=-216
42r+49s=301
85s=85
s=1

- Hero

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

- anonymous

that would be elimination method

- anonymous

same answer just different method

- Hero

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

- anonymous

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

- anonymous

there is just two different methods

- Hero

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

- anonymous

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

- anonymous

even though the answer is the same

- Hero

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

- anonymous

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

- Hero

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

- anonymous

lol i call it debating

- anonymous

one of us will come up with the right answer eventually

- Hero

debating = formal argument

- anonymous

it sounds nicer though

- Hero

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

- anonymous

lol

- Hero

Good night Chris...

- anonymous

night

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