$\"\"$

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The system of equations are

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$\"\"$

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Write the equations into matrix form $\"\"$ ,

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where $\"\"$ is coefficient matrix, $\"\"$ is variable matrix and $\"\"$ is constant matrix.

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$\"\"$

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Inverse of a $\"\"$ matrix : $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ . $\"\"$

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$\"\"$ .

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Rewrite the equation.

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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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Check solution for $\"\"$ -values:

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The equations are $\"\"$ 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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$\"\"$ (Add: $\"\"$ )

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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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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$

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The solution of the system of equations are $\"\"$ and $\"\"$ .