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Re: Math Question

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MiniNob is not online. MiniNob
Joined: 14 May 2013
Total Posts: 822
11 Oct 2016 04:01 PM
How Do You Solve: 13x+19y=1000

x and y have to be whole numbers
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MiniNob is not online. MiniNob
Joined: 14 May 2013
Total Posts: 822
11 Oct 2016 04:02 PM
bump
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Lordux is not online. Lordux
Joined: 10 Jun 2010
Total Posts: 610
11 Oct 2016 04:04 PM
graph it
19y=-13x+1000
y=-0.685x+52.6315789
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Wowgnomes is not online. Wowgnomes
Joined: 27 Sep 2009
Total Posts: 26255
11 Oct 2016 04:04 PM
How Do You Solve: 13x + 19y = 1000

x and y have to be whole numbers

linear equation

y = 1000/19 + 13x/19

for i = 10000 do
if 13*i/19 + (1000/19) == math.floor then
print("WE FOUND A COMBO ("..i..","..(13*i/19 + (1000/19))..")")
end
wait()
end


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MiniNob is not online. MiniNob
Joined: 14 May 2013
Total Posts: 822
11 Oct 2016 04:06 PM
I want all of the answers
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Wowgnomes is not online. Wowgnomes
Joined: 27 Sep 2009
Total Posts: 26255
11 Oct 2016 04:08 PM
y = 1000/19 + 13x/19

for i = -10000000, 1000000000 do
if 13*i/19 + (1000/19) == math.floor then
print("WE FOUND A COMBO ("..i..","..(13*i/19 + (1000/19))..")")
end
wait()
end

add the values instead of printing to a table

there is only one solution bc its linear, and it prob isn't a interger chord


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MiniNob is not online. MiniNob
Joined: 14 May 2013
Total Posts: 822
11 Oct 2016 04:09 PM
No I want all of the possible x and y that are integer
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Wowgnomes is not online. Wowgnomes
Joined: 27 Sep 2009
Total Posts: 26255
11 Oct 2016 04:10 PM
thats what my script does



prints all combinations where X and Y are intigers



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MiniNob is not online. MiniNob
Joined: 14 May 2013
Total Posts: 822
11 Oct 2016 04:10 PM
I give you one hint:

1000 = 12 [19]
1000 = 12 [13]
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MiniNob is not online. MiniNob
Joined: 14 May 2013
Total Posts: 822
11 Oct 2016 04:11 PM
and your script errors and still doesn't print all integer solutions
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Wowgnomes is not online. Wowgnomes
Joined: 27 Sep 2009
Total Posts: 26255
11 Oct 2016 04:19 PM
lol you mean 0 = x, y = 19
and 13, 0


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Wowgnomes is not online. Wowgnomes
Joined: 27 Sep 2009
Total Posts: 26255
11 Oct 2016 04:21 PM
my script doesn't error, I don't know why it doesn't print those value stho


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newcoolman2 is not online. newcoolman2
Joined: 01 Apr 2010
Total Posts: 2637
11 Oct 2016 04:33 PM
for i=1, math.huge, 1 do
local y=((-13*i)/19)+(1000/19)
if y==math.floor(y) then
print(i,y)
end
wait()
end


beware. I experienced minor lag from this :)


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Wowgnomes is not online. Wowgnomes
Joined: 27 Sep 2009
Total Posts: 26255
11 Oct 2016 04:39 PM
did you find the values he was reffering to?

and for me it wasn't about lag when using wait() it was just it only goes thru 32 values per second which takes forever. u also dont have any negative x solutions


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newcoolman2 is not online. newcoolman2
Joined: 01 Apr 2010
Total Posts: 2637
11 Oct 2016 04:42 PM
I forgot about the negative ones. Here it is...

for i=1, math.huge, 1 do
local y=((-13*i)/19)+(1000/19)
local y0=((-13*-i)/19)+(1000/19)
if y==math.floor(y) then
print(i,y)
end
if y0==math.floor(y0) then
print(-i,y0)
end
wait()
end

Also yes it does print out values continuously.


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Wowgnomes is not online. Wowgnomes
Joined: 27 Sep 2009
Total Posts: 26255
11 Oct 2016 04:45 PM
what is different between our two scripts? besides your nifty negative value way


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newcoolman2 is not online. newcoolman2
Joined: 01 Apr 2010
Total Posts: 2637
11 Oct 2016 04:50 PM
Well first you didn't simplify correctly
>y = 1000/19 + 13x/19 is wrong
should be y=1000/19-13x/19

Second your index starts at -10000000, probably not many values around that area.

>math.floor
you are comparing a number value to a function value.
should be math.floor(numValue)



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Wowgnomes is not online. Wowgnomes
Joined: 27 Sep 2009
Total Posts: 26255
11 Oct 2016 04:52 PM
I forgot to do if 13*i/19 + (1000/19) == math.floor(13*i/19 + (1000/19)) then
left it halways complete

combined with algebra error makes sense



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Aviator_Ratchet is not online. Aviator_Ratchet
Joined: 09 Feb 2014
Total Posts: 288
11 Oct 2016 04:55 PM
does anyone even like algebra?
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Wowgnomes is not online. Wowgnomes
Joined: 27 Sep 2009
Total Posts: 26255
11 Oct 2016 04:57 PM
I don't mind it, and you need it for calculus so :/


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newcoolman2 is not online. newcoolman2
Joined: 01 Apr 2010
Total Posts: 2637
11 Oct 2016 04:59 PM
I love math.
Algebra,trig,calc all of it.


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cabbler is not online. cabbler
Joined: 19 Jun 2015
Total Posts: 735
11 Oct 2016 06:00 PM
Uh you can only solve for one variable, and there are infinite solutions ...
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TimeTicks is not online. TimeTicks
Joined: 27 Apr 2011
Total Posts: 27115
11 Oct 2016 06:07 PM
wrong.

13x+19y=1000

d/dx[13x] + d/dx[19y] = d/dx[1000]

13 + 19dy/dx = 0

19dy/dx = -13

dy/dx = -13/19

mtan = -13/19

if x = 0,

y = 1000/19

Equation of tangent line: y - 1000/19 = -13/19(x - 0)

kek


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MiniNob is not online. MiniNob
Joined: 14 May 2013
Total Posts: 822
12 Oct 2016 01:56 PM
I still need the integer solutions.
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MiniNob is not online. MiniNob
Joined: 14 May 2013
Total Posts: 822
12 Oct 2016 02:42 PM
Fine I give you the answer

13x + 19y = 1000

12 = 1000 [19]
0 = 1000 - 13x [19]
13x = 1000 [19]
13x = 12 [19]
x = 17 [19]

x = 19k + 17


0 = 1000 - 19y [19]
19y = 12 [13]
y = 2 [13]

y= 13l +2


13 (19k + 17) + 19 (13l + 2) = 1000

247k + 221+ 247l + 38 = 1000
247(k+l) = 1000-221-38
247(k+l) = 741
k+l=3
l=3-k

y= 13(3-k) + 2
y= 39-13k+2
y= 41-13k

THE SOLUTION IS:

x=19k+17
y=-13k+41

(example)
for k=5:
13(19*5+17) + 19(-13*5+41) = 1000
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