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

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Convert the equations into matrices form $\"\"$ ,

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

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Dimension of matrix $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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Multiply each side by $\"\"$ .

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$\"\"$

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The value of $\"\"$ .

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$\"\"$

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Apply identity property of matrix : $\"\"$ .

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$\"\"$ .

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First find $\"\"$ .

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$\"\"$

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Form the matrix $\"\"$ .

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$\"\"$

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Use row operations to transform $\"\"$ into reduced row echelon form.

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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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Inverse matrix is $\"\"$ .

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Substitute $\"\"$ in equation (1).

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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 in ordered pair form is $\"\"$ .

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The solution is $\"\"$ .