This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
 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 1.5.7, Section 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. In[1]:= Out[1]= For readability, a warning message is temporarily turned off and then turned back on later. In[2]:= Eliminate also attempts to remove variables that appear in transcendental equations. In[3]:= Out[3]= In[4]:= Out[4]= In[5]:= Out[5]= In[6]:= See the Further Examples for Solve.