MHB What Alternative Online Programs Can Solve My Complex Mathematical System?

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The discussion centers around solving a complex mathematical system involving two equations for variables x and y. The original poster attempted to use Wolfram for calculations but encountered failure. A participant suggests that Wolfram/Mathematica should be capable of solving the system if the user specifies the unknowns correctly and provides constraints on the variables. They successfully solved the equations both analytically and numerically, demonstrating that the program can handle such calculations with the right inputs. The conversation emphasizes the importance of correctly defining the problem for effective use of mathematical software.
evinda
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Hello! (Wave)

I want to solve the following system:

$$y=\frac{3k^2+2ok+q-em}{2m+ek+p}x+\frac{-k^3+qk+2n-pm}{2m+ek+p}$$
$$ y^2+exy+py=x^3+ox^2+qx+n$$

I tried to compute it at Wolfram, but it failed. (Dull)

Is there an other online program that I could use in other to make calculations? (Thinking)
 
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evinda said:
Hello! (Wave)

I want to solve the following system:

$$y=\frac{3k^2+2ok+q-em}{2m+ek+p}x+\frac{-k^3+qk+2n-pm}{2m+ek+p}$$
$$ y^2+exy+py=x^3+ox^2+qx+n$$

I tried to compute it at Wolfram, but it failed. (Dull)

Is there an other online program that I could use in other to make calculations? (Thinking)

Well of course it failed, it can't read your thoughts. What do you need to solve for? Any constraints on the values of the different variables/constants? (e.g. reals/integers/positive integers). If your unknowns are only $x$ and $y$ then Wolfram/Mathematica should easily pick up the linear relationship between $x$ and $y$, obtain a cubic in $x$ from the second equation which it can then solve for $x$ and substitute back into $y$.

For instance I just tried and assuming $x$ and $y$ are the unknowns Mathematica successfully solved the system of equations analytically and generated an immense symbolic solution. I also tried giving values to the k, o, q, e, m, p, n constants and solved it numerically and it output all the solutions instantly (three of them in that case).
 
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