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ReplaceAll (/.)SolveAlways

Eliminate

FilledSmallSquareEliminate[eqns, vars] eliminates variables between a set of simultaneous equations.

FilledSmallSquare Equations are given in the form lhs == rhs.

FilledSmallSquare Simultaneous equations can be combined either in a list or with &&.

FilledSmallSquare A single variable or a list of variables can be specified.

FilledSmallSquare Example: Eliminate[x == 2 + y, y == z, y] LongRightArrow.

FilledSmallSquare Variables can be any expressions.

FilledSmallSquareEliminate works primarily with linear and polynomial equations.

FilledSmallSquare See The Mathematica Book: Section 1.5.7 and Section 3.4.8.

FilledSmallSquare See also: Reduce, SolveAlways, Solve, GroebnerBasis.

Further Examples

ReplaceAll (/.)SolveAlways