$\"\"$

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

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Write the equations into matrix form $\"\"$ , where $\"\"$ is coefficient matrix,

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$\"\"$ is variable matrix and $\"\"$ is constant matrix.

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

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Solve the system of equation by Cramer $\"\"$ s rule.

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Cramer $\"\"$ s rule :

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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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Find $\"\"$ .

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$\"\"$

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$\"\"$ (Substitute $\"\"$ and $\"\"$ ) $\"\"$ (Simplify)

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$\"\"$ (Multiply)

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

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$\"\"$ . (Simplify)

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$\"\"$

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Find $\"\"$ .

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$\"\"$

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$\"\"$ (Substitute $\"\"$ and $\"\"$ ) $\"\"$ (Simplify)

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$\"\"$ (Multiply)

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

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$\"\"$ . (Simplify)

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The solution of the system of equation is $\"\"$ . $\"\"$

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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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$\"\"$ (Add: $\"\"$ ) $\"\"$

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