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

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The system of linear equations can be written as the form of augmented matrix or [A : B], where A is coefficient matrix and B is constant matrix.

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$\"\"$

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Perform the operations on $\"\"$ so first column has leading $\"\"$ .

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$\"\"$

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Perform the operations on $\"\"$ so first column has zeros below its leading 1.

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$\"\"$

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Perform the operations on $\"\"$ so second column has leading $\"\"$ .

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$\"\"$

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Perform the operations on $\"\"$ so second column has zeros below its leading 1.

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$\"\"$

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Perform the operations on $\"\"$ so third column has leading $\"\"$ .

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$\"\"$

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Now the matrix is in reduced row-echelon form, and corresponding system is $\"\"$ .

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Substitute the value of $\"\"$ in $\"\"$ and solve for y.

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$\"\"$

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$\"\"$ .

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The value of $\"\"$ are substitute in $\"\"$ and solve for x.

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$\"\"$

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$\"\"$

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$\"\"$ .

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The solution $\"\"$ .