\"\"

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The system of equations are \"\", \"\" and \"\".

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Write the equations into matrix form \"\", where \"\" is coefficient matrix, \"\" is variable matrix and \"\" is constant matrix.

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\"\".

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Cramer\"\"s rule : Solution of the system of equations \"\", \"\" and \"\" for \"\".

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Co-efficient matrix \"\".

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Caluculate the determinant of matrix \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\".

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\"\"

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Find \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\".

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Find \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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\"\" 

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\"\".

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Find \"\".

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\"\"

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\"\"

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\"\"

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\"\"

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\"\"

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\"\".

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The solution of the system of equations is \"\".\"\"

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Check solution for \"\"-values.

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\"\", \"\" and \"\".

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Case (i):

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\"\"                                 (First equation)

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\"\"       (Substitute \"\",  \"\" and \"\")

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\"\"                                (Multiply)

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\"\"                                                      (Substitute: \"\")

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Case (ii):

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\"\"                                  (Second equation)

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\"\"        (Substitute \"\",  \"\" and \"\")

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\"\"                        (Multiply)

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\"\"                                                   (Substitute: \"\")

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Case (iii):

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\"\"                                      (Third equation)

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\"\"           (Substitute \"\",  \"\" and \"\")

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\"\"                         (Multiply)

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\"\"                                                   (Substitute: \"\")

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\"\"

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The solution of the system of equations is \"\".