Question 1015423
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Introduce new variables 

u = {{{1/x}}}, v = {{{1/y}}} and w = {{{1/z}}} and then solve the ordinary linear system of three equations in three unknowns.


For examples of this kind see the lessons 

  <A HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Solving-systems-of-non-linear-equations-in-two-unknowns-using-Cramer%27s-rule.lesson>Solving systems of non-linear equations in two unknowns using the Cramer's rule</A>  and

  <A HREF=http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Solving-systems-of-non-linear-equations-in-three-unknowns-using-Cramer%27s-rule.lesson>Solving systems of non-linear equations in three unknowns using Cramer's rule</A>

in this site.
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