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Eliminate

  • Eliminate[ eqns , vars ] eliminates variables between a set of simultaneous equations.
  • Equations are given in the form lhs == rhs.
  • Simultaneous equations can be combined either in a list or with &&.
  • A single variable or a list of variables can be specified.
  • Example: Eliminate[ x == 2 + y, y == z , y].
  • Variables can be any expressions.
  • Eliminate works primarily with linear and polynomial equations.
  • See the Mathematica book: Section 1.5.7Section 3.4.8.
  • See also: Reduce, SolveAlways, Solve, GroebnerBasis.

    Further Examples

    The variable specified in the second argument is eliminated from the system of equations.

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    For readability, a warning message is temporarily turned off and then turned back on later.

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    Eliminate also attempts to remove variables that appear in transcendental equations.

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    See the Further Examples for Solve.