Write the condition for unique solution of a pair of linear equations in two variables .

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Solution

The condition for unique solution of pair of linear equations $a_{1} x + b_{1} y + c_{1} = 0 a_{2} x + b_{2} y + c_{2} = 0$ is
$\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$

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