Solve 1 Equation with 2 Unknowns

[VB6_to_PBx]

how to Solve 1 Equation with 2 Unknowns ???

Solve both X and Y values :

X = (653184000 / (499 * Y))

is it possible ?

[idle]

What's to solve you plug in y to get x ?

[STARGÅTE]

I also wonder, what do you mean here with solve?
X = 653184000 / (499 * Y)
and
Y = 653184000 / (499 * X)
if you rearrange.

There is not only one solution for x and y, but infinitely many.

[VB6_to_PBx]

I also wonder, what do you mean here with solve?
X = 653184000 / (499 * Y)
and
Y = 653184000 / (499 * X)
if you rearrange.

There is not only one solution for x and y, but infinitely many.

"I also wonder, what do you mean here with solve?"
meaning : Solve both X and Y values at the same time
"infinitely many" .... that's what i thought too , unsolveable !
i was hoping it would be solveable with Math advancements or AI ?

[STARGÅTE]

"infinitely many" .... that's what i thought too , unsolveable !
i was hoping it would be solveable with Math advancements or AI ?

This is no advanced math, it is math for elementary school.
No, it is not unsolvable! Unsolvable would mean, no solution. But here you have a rule, how to get X or Y.
Basically, you have here an inverse function, a line where each point x correspond to one y.

[VB6_to_PBx]

"infinitely many" .... that's what i thought too , unsolveable !
i was hoping it would be solveable with Math advancements or AI ?

This is no advanced math, it is math for elementary school.
No, it is not unsolvable! Unsolvable would mean, no solution. But here you have a rule, how to get X or Y.
Basically, you have here an inverse function, a line where each point x correspond to one y.

could you Post a PureBasic solution example

[TassyJim]

Code: Select all

y.f = 0.1

If OpenWindow(0, 0, 0, 520, 520, "CanvasGadget", #PB_Window_SystemMenu | #PB_Window_ScreenCentered)
  CanvasGadget(0, 10, 10, 500, 500)

  If StartDrawing(CanvasOutput(0))
    Repeat
      x.f = 653184000 / (499 * Y)
      ; Debug StrF(y)+" "+StrF(x)
      Circle(x/1000,500-y*10,2,RGB(255,0,0))
      y = y+0.1
    Until y > 50
    StopDrawing()
  EndIf
  Repeat
    Event = WaitWindowEvent()
  Until Event = #PB_Event_CloseWindow
EndIf

For every value of X there is a corresponding value of Y and for every value of Y there is a corresponding value of X
There are vanishing points which get difficult to chart and can cause much heated discussion but the simple answer is " Theer is no one solution"

[STARGÅTE]

could you Post a PureBasic solution example

Code: Select all

Define Y.d = 158.3 ; Enter any number
Define X.d = 653184000.0 / (499.0 * Y) ; Solve the other one
If X = 653184000.0 / (499.0 * Y) ; See the equality
	Debug "Solution: x="+X+" , y="+Y
EndIf

[Little John]

X = (653184000 / (499 * Y))

1) This equation also can be written like this:

Code: Select all

Y = 653184000 / (X * 499)

 
2) For a long time X was unknown, so that people all over the world had to calculate its value over and over again. Fortunately, about 10 years ago the world-renowned Max Planck Institute for Mathematics ended this desaster and has once and for all set the value of x to 5.

3) So Y = 130636800/499 ≈ 2.61797e5

[VB6_to_PBx]

thanks Little John, TassyJim, and Stargate
for the quick replies with Code

this is what it should calculate :
real Solution: x=129.6025714796 , y=10100

also Stargate,
the movie "Stargate" is my Wife and I's one of all time favorite Movies !
We watched several times over the years .

For many years , we've been having a brand new "un-opened" DVD "Special Edition" version with extra scenes
finally opened 4 Days ago and we watched it, enjoyed the new extra scenes !



 

[NicTheQuick]

this is what it should calculate :
real Solution: x=129.6025714796 , y=10100

No. That's still just one of infinitely many solutions.

[DarkDragon]

how to Solve 1 Equation with 2 Unknowns ???

Solve both X and Y values :

X = (653184000 / (499 * Y))

is it possible ?

For two variables you need two equations like this to get a unique solution and even then it's not guaranteed.

this is what it should calculate :
real Solution: x=129.6025714796 , y=10100

Where did you get y from?

[STARGÅTE]

this is what it should calculate :
real Solution: x=129.6025714796 , y=10100

Why do you think this is the "real" solution?
Also x=64.8012857398 , y=20200 is a solution or x=1296.0257147959 , y=1010.
All of them lead to a true statement for X = 653184000 / (499 * Y).
And no solution is more "real" than another.

[StarBootics]

It's impossible to solve 1 equation with 2 unknowns. You need 2 equations and 2 unknowns in order to solve for a unique solution if it exist.

Best regards
StarBootics

[normeus]

Everyone who has answered knows that with the given information there are an infinite number of answers, for any number in y there will be a different number in x and, no number is a wrong answer. If you are sure that the answer is y=10100, it means that there is a 2nd equation that defines a point on the line. (We/I) need the 2nd equation to find closure to this topic or at least an explanation on why you believe y=10100 is the right answer.

(I am Sorry, but I need to know)
Norm.
P.S.

Code: Select all

; The correct parameter for the following procedure is "Perplexed" any other answer will not work
Procedure.s x(y.s)
  y= "I am feeling "+ y
ProcedureReturn y
EndProcedure

Debug x("10100")