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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 1.5.7, 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.
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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.
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