Step 1:

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

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

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

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$\"\"$

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Solve the equations in Gauss-Jordan method.

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The augmented matrix is $\"\"$ .

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$\"\"$

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$\"\"$ are represents first row and second row.

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Apply $\"\"$ .

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$\"\"$

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Apply $\"\"$ .

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$\"\"$

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Apply $\"\"$ .

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$\"\"$ .

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The solutions are $\"\"$ and $\"\"$ .

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The equation is $\"\"$ .

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The standard form of line equation is $\"\"$ .

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$\"\"$ .

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Add $\"\"$ to each side.

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$\"\"$

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Apply additive inverse property: $\"\"$

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$\"\"$

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$\"\"$

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Multiply each side by $\"\"$ .

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$\"\"$

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Apply distributive property: $\"\"$ .

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$\"\"$

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$\"\"$ .

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Therefore,the standard form of line equation is $\"\"$ .

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