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eliminate - eliminate some variables from a set or list of equations
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Calling Sequence
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eliminate (eqnset, varset)
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Parameters
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eqnset
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set or list of equations
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varset
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variable, or set or list of variables to eliminate from the equations
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Description
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eliminate eliminates the given variables from a set or list of equations.
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The result of this elimination is an expression sequence of lists. Each list represents a possible elimination of the given variables.
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The first component of each solution is a set of equations, where the left-hand side of these equations is a variable (one of the variables in varset) and the right-hand side is its corresponding value. The second component of each solution is the set of remaining equations once the varset have been eliminated.
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Examples
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Eliminate the variable x from a list of equations.
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![[{x = 3/(-2*y^2+y+1)}, {-7*y^4+4*y^6+6*y^3-4*y^5+4*y^2-2*y+8}]](/support/helpjp/helpview.aspx?si=3925/file00248/math67.png)
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![eliminate([x+sin(y), 3*cos(x)+x*y], x)](/support/helpjp/helpview.aspx?si=3925/file00248/math71.png)
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![[{x = -sin(y)}, {3*cos(sin(y))-sin(y)*y}]](/support/helpjp/helpview.aspx?si=3925/file00248/math74.png)
| (2) |
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![[{x = -(3/5)*sin(y)*z/y}, {-z*(9*z^2*sin(y)-5*cos((3/5)*sin(y)*z/y)), exp(-(1/5)*z*(3*sin(y)-5*y)/y)}]](/support/helpjp/helpview.aspx?si=3925/file00248/math81.png)
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Eliminate the variables x and y from a list of equations.
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![[{x = -z, y = -5/(3*z-1)}, {25*z*(2+3*z)}]](/support/helpjp/helpview.aspx?si=3925/file00248/math94.png)
| (4) |
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