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eliminate

eliminate some variables from a set or list of equations

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

eliminate (eqnset, varset)

Parameters

eqnset

-

set or list of equations

varset

-

variable, or set or list of variables to eliminate from the equations

Description

• 

eliminate eliminates the given variables from a set or list of equations.

• 

The result of this elimination is an expression sequence of lists.  Each list represents a possible elimination of the given variables.

• 

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.

Examples

Eliminate the variable x from a list of equations.

eliminatex2+y21,x3y2x+xy3,x

x=32y2+y+1,4y64y57y4+6y3+4y22y+8

(1)

eliminatex+siny,3cosx+xy,x

x=siny,3cossinysinyy

(2)

eliminateⅇx+z,3sinyz+5xy,3yz2x+cosxz,x

x=35sinyzy,z9sinyz2+5cos35sinyzy,ⅇ15z3siny5yy

(3)

Eliminate the variables x and y from a list of equations.

eliminatex+z,3y2z+5xy,5z+3yz2+xy,x,y

x=z,y=53z1,25z2+3z

(4)

See Also

resultant

solve

 


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