$\"\"$

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

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

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Solve each equations.

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case(i)

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$\"\"$ (First equation)

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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case(ii)

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$\"\"$ (Second equation)

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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Hence , the two line equations are slopes are equal.

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Therefore, the two equations are parallel lines.

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$\"\"$

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Option A is right choice.