] eliminates variables between a set of simultaneous equations.
Equations are given in the form lhs
Simultaneous equations can be combined either in a list or with &&.
A single variable or a list of variables can be specified.
x == 2 + y, y == z
Variables can be any expressions.
Eliminate works primarily with linear and polynomial equations.
See the Mathematica book: Section 1.5.7, Section 3.4.8.
See also: Reduce, SolveAlways, Solve, GroebnerBasis.
The variable specified in the second argument is eliminated from the system of equations.
For readability, a warning message is temporarily turned off and then turned back on later.
Eliminate also attempts to remove variables that appear in transcendental equations.
See the Further Examples for Solve.