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While Cramer's rule is certainly an elegant expression of the solution, it is not necessarily a useful way to solve a system of linear equations by hand where the number of equations is greater than about 3.  This is because pencil-and-paper evaluation of determinants is a tedious and error-prone process.  Computer programs to solve linear systems could use Cramer's rule, but they typically use ''Gaussian elimination'', which is the computer equivalent of the "multiply by a constant and subtract" method that is taught in algebra classes.
 
While Cramer's rule is certainly an elegant expression of the solution, it is not necessarily a useful way to solve a system of linear equations by hand where the number of equations is greater than about 3.  This is because pencil-and-paper evaluation of determinants is a tedious and error-prone process.  Computer programs to solve linear systems could use Cramer's rule, but they typically use ''Gaussian elimination'', which is the computer equivalent of the "multiply by a constant and subtract" method that is taught in algebra classes.
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[[Category:Linear algebra]]
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[[Category:Linear Algebra]]
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