I have a system of equations all linear in one variable X with many parameters. I am trying to separate the variable in these equations by taking the pairwise resultants of one of the equation with the other ones so that the resultants are equal. E.g.
A1=Resultant[eq1,eq2,X]; A2=Resultant[eq1,eq3,X]; ... An=Resultant[eq1,eqn,X];
Where the equations are something like this:
eq1 = a b c X + e/h f^5 g^2 X + 6 a^3/g k X + .... + az/h^2 X .....
And what I want to get are expressions
a, b, c,.. (free of X), which are equal.
However, it is running too slow and I am not getting any result. Perhaps there is another way of doing that in Mathematica?