The system of linear equations $2 x + 3 y = 7$ and $4 x + 6 y = 10$ has

no solution

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unique solution

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infinite solution

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no conclusion can be drawn

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Solution

The correct option is B no solution
$\frac{2}{4} = \frac{3}{6} \neq \frac{7}{10}$

$\Rightarrow \frac{1}{2} = \frac{1}{2} \neq \frac{7}{10}$

$\Rightarrow \frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

$∴$ There is no solution.

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