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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
r = 6
(7r-6s=36)-6 (6r-7s=43)7 -42r+36s=-216 42r-49s=301 13s=85
Chris, (r,s) = (6,1) is the solution
ok how is what you did elimination method?
If you want me to prove it to you, I will
Because I eliminated r variable, then solved for s
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.
please do i have never seen your way
I invented my way, that's why. If you use x and y as variables you'll see why.
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.
You can prove it to yourself by plugging in r = 6 and s = 1 back into the original equations
Chris Chris Chris..
lol i asked him to teach me? what?
i am sure i made a mistake somewhere but i was interested in his method
The method I use, you've been taught it already.
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.
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
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
you must realize that some instructors would want to see that problem done by instruction instead of substituting for r
but im not arguing, just making an observation
I would argue that I did eliminate one variable while solving.
what you did was solve each equation for r then set them equal
Either way, no one has yet to post the solution you're looking for.
I figure that maybe you would but instead you want to argue with me.
well im justsaying what you did is almost the exact definition of the substitution method
Chris, everyone is waiting for you to post the "correct" solution.
well ok ill show you
I posted my solution because I don't care much for the elimination method as you know it.
but im not arguing
Whatever you say man :P
i unsderstand that, and if the question didnt ask for a specific method i would agree with you
im not trying to argue with you at all
(7r-6s=36)-6 (6r-7s=43)7 -42r+36s=-216 42r+49s=301 85s=85 s=1
I posted a solution since no one had posted one yet. And by technicality, I did indeed eliminate r variable by substitution.
that would be elimination method
same answer just different method
Well, it's about time...only took about a whole hour for someone to do it.
if they had asked them to do it susbstitution method, you answer is absolutely correct
there is just two different methods
If it has to take an hour to post the solution, I'd rather stick with my methods...
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
even though the answer is the same
I'm just happy the correct solution is finally posted. I just posted my solution for fun.
heh no problem man, just do not want you to think I am arguing
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
lol i call it debating
one of us will come up with the right answer eventually
debating = formal argument
it sounds nicer though
This must have been how it was like when Leibnitz and Newton was arguing over who invented Calculus
Good night Chris...