] simplifies the equations eqns, attempting to solve for the variables vars. The equations generated by Reduce are equivalent to eqns, and contain all the possible solutions.
] simplifies the equations, trying to eliminate the variables elims.
The equations given to Reduce are in the form lhs
rhs. Simultaneous equations can either be given in a list, or combined with &&.
Example: Reduce[a x + b == 0, x].
Reduce generates equations (==) and nonequalities (!=), combined with && and ||.
Reduce primarily deals with polynomial equations.
See the Mathematica book: Section 1.5.7, Section 3.4.6.
See also: Solve, Eliminate, LogicalExpand, ToRules.
This is an example of the three-argument form. We eliminate y and z, and attempt to solve for r and b; conditions are imposed on the remaining parameters.
In the previous example the denominators were removed by cross multiplication. The presence of denominators makes this a harder problem.
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