[Insert Eureka]

[Swate]

Yeah. Do it. "EUREKA!"

I have done dis mathematical thing and needed to show off somewhere, so where better than the Off-Topic section of the forums of Blocktopia, huh?

Spoiler: The working out

Spoiler: The final result

Sorry for the crap quality, iPads do not have the best cameras (or at least mine doesn't.)

Basically, what it is for the uneducated/lazy/[insert other adjective to describe yourself if you don't understand it] person is an equation I voluntarily (yes, read out of my own leisure time) did to work out the z value using the substitution method for working out three unknowns in three questions if:

ax+by+cz=d
ex+fy+gz=h
ix+jy+kz=l

You can then substitute your worked-out z value into two of the equations and use simple elimination or substitution method for two unknowns to figure out x and y.

Absolutely no numbers are used in the equation, just pronumerals (algebra letters.)

Yey, I da winrar.
Biblius I don't know if you're a math-oriented person like me but if you are see if you can make sense of it. xD

 

[SmoggyWaffles]

Holy what?

 

[Deleted member 4601]

o.o
Impressive. :)

Edit: I got a different answer :3

 

[Notme]

Lower Mid-level mathematics corn?

Substitute "c" in "corn" with "p"

 

[Jeercrul]

But but-
I'm still too lazy to work it out :L

 

[Jivvi]

wtf Swate.
I come here because its not school
STOP BEING SO GODDAMN SMART

 

[Enderfive]

I don't even try to understand, and I'm supposed to be the smart kid. o_o

 

[Swate]

I just finished working it out after an hour. I still have some possible fine-tuning to do, and I should probably post a better picture just in case some letters are read wrong.

 

[Enderfive]

Wait, how old are you again? Or which grade are you in?

 

[Shinyshark]

3P + 30 = -2P -60
5P + 30 = -60
5P = -30
P = -6

Spoiler

HAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAHHAHAHAHAHAHAHAHHAHAHAHAHAHAHHAHAHAHAHAHAHAHAH

 

[Swate]

Wait, how old are you again? Or which grade are you in?

15 next Sunday, Grade 11 by Australian standards (skipped a grade.)

 

[Enderfive]

Oh. We

Wait, how old are you again? Or which grade are you in?

15 next Sunday, Grade 11 by Australian standards (skipped a grade.)

Oh. Well, that explains why I don't get it. I'm 15 too, but here in Estonia we go to the ninth grade at that age. Or if you're nub then to eight.

 

[Oak Milk]

Dayum das some good shit.
But the fun really starts when you work on differentiation

 

[Swate]

Dayum das some good shit.
But the fun really starts when you work on differentiation

Yeah, in my school we have three maths courses: Maths A, B and C. You have to do either A or B, but B is OP eligible. C is optional and super duper. What I wrote here we did in Maths C, and we're doing differentiation and limit theory etc. in B.

It's pretty cool, thank god for the shortcut where you just multiple the coefficient by the powers and take the powers each down one :3 makes deriving so much easier than using first principle (that f(x+h) thing)

 

[Enderfive]

Inb4 someone posts Ancient Aliens meme with MATH written at the bottom.

 

[Swate]

Well, I'm going to go to sleep now and dream about waking up and finding that 5 people have found my equation to be wrong xD

 

[Notme]

Looks like you have much better maths education at Australia than in Poland/Estonia...

15 year old and already you do differentiation and limit theory...

EDIT:

Oh. We

Wait, how old are you again? Or which grade are you in?

15 next Sunday, Grade 11 by Australian standards (skipped a grade.)

Oh. Well, that explains why I don't get it. I'm 15 too, but here in Estonia we go to the ninth grade at that age. Or if you're nub then to eight.

Same here (in Poland) at this age.

Americans, what Grade is it for you at that age?
EDIT: it seems like its 9/10th Grade too.

 

[Oak Milk]

Dayum das some good shit.
But the fun really starts when you work on differentiation

Yeah, in my school we have three maths courses: Maths A, B and C. You have to do either A or B, but B is OP eligible. C is optional and super duper. What I wrote here we did in Maths C, and we're doing differentiation and limit theory etc. in B.

It's pretty cool, thank god for the shortcut where you just multiple the coefficient by the powers and take the powers each down one :3 makes deriving so much easier than using first principle (that f(x+h) thing)

Ahh yes the first principle method of differentiating can be grinding, but when you understand what it means and represents you get a whole new feel for differentiating. =D

 

[Undefined User 7]

Biblius I don't know if you're a math-oriented person like me but if you are see if you can make sense of it. xD

Not in the slightest! But good work nonetheless.

 

[Faliara]

Wha the fu-

This reminds me of the time when no one, I mean NO ONE knew the answer to a question in the textbook, not even the teacher, so we all had to resort to calculators.

EUREKA :D /shot

 

[DaniGrenade]

Inb4 someone posts Ancient Aliens meme with MATH written at the bottom.

 

[Fruit]

Hmm should i take the time to do this.....

Also I had a question once, (not using the substitution method) but it was on this very important test, and i took me an entire page of work, and I never got the results for that test, so I don't know if i got it right.... but I did find out that I passed it today (took em all summer to tell me and they didn't even tell me, I found out indirectly by finding out what math class I'm in, but anywho)

I think I'll try to solve it to make sure you're correct

EDIT: I voted *sigh* eureka because why not, and, this problem gonna take too much time so, good for you for solving it! but I don't think I shall attempt it. :3

 

[ZombiePineapple]

My reaction when I was trying to figure it out

 

[Vatumok]

What I did:

x = (d - by - cz)/a
x = (h - fy - gz)/e
x = (l - kz - jy)/i

(d-by-cz)/a = (h-fy-gz)/e
ah - fay - agz = ed - bey - ecz
bey - fay = ed - ecz - ah + agz
y = (ed - ecz - ah + agz)/(be - fa)

(h - fy - gz)/e = (l - kz - jy)/i -->
y = (el - kez - ih + giz)/(je - fi)

(ed - ecz - ah + agz)/(be - fa) = (el - kez - ih + giz)/(je - fi) -->
z(jce² + gibe + kefa - bke² - jeag - fiec) = jde² - jeah - fied + fiag - ble² + beih + feal - faih
z = (jde² - jeah - fied + fiag - ble² + beih + feal - faih)/(jce² + gibe + kefa - bke² - jeag - fiec)

Though, I have no idea if either one of ours is correct because it's an absolute chaos with all those variables. (Maybe they're the same just written differently)

 

[Swate]

What I did:

x = (d - by - cz)/a
x = (h - fy - gz)/e
x = (l - kz - jy)/i

(d-by-cz)/a = (h-fy-gz)/e
ah - fay - agz = ed - bey - ecz
bey - fay = ed - ecz - ah + agz
y = (ed - ecz - ah + agz)/(be - fa)

(h - fy - gz)/e = (l - kz - jy)/i -->
y = (el - kez - ih + giz)/(je - fi)

(ed - ecz - ah + agz)/(be - fa) = (el - kez - ih + giz)/(je - fi) -->
z(jce² + gibe + kefa - bke² - jeag - fiec) = jde² - jeah - fied + fiag - ble² + beih + feal - faih
z = (jde² - jeah - fied + fiag - ble² + beih + feal - faih)/(jce² + gibe + kefa - bke² - jeag - fiec)

Though, I have no idea if either one of ours is correct because it's an absolute chaos with all those variables. (Maybe they're the same just written differently)

Yeah, I'm certain it can be done with less complication, I could try again but start a different way and maybe end up with a more realistic formula.