Eliminate

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Eliminates variables from a system of equations.

Forms

Eliminate[eqns, vars]

Verified examplesEliminate[{x == 2 + y, y == z}, y] → 2 + z == x Eliminate[{f == x ^ 5 + y ^ 5, a == x + y, b == x y}, {x, y}] → a^5 - (15*a^5)/4 - (5*a^5)/2 - (5*a^5)/4 + (15*a^5)/8 + (5*a^5)/8 + 5*a^5 + 15*a^3*b - (15*a^3*b)/2 - (5*a^3*b)/2 - 10*a^3*b + 5*a*b^2 - 5*a^4*Sqrt[a^2 - 4*b] - (5*a^2*(a^2 - 4*b)^(3/2))/4 + (5*a^2*(a^2 - 4*b)^(3/2))/4 - (5*a^4*Sqrt[a^2 - 4*b])/4 + (5*a^4*Sqrt[a^2 - 4*b])/2 + (15*a^4*Sqrt[a^2 - 4*b])/4 - f == 0

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Topics

Polynomial Algebra - Polynomial Systems »
Polynomial Systems - Eliminating Variables

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