Find the value of $k$ for which the following system of equations has no solution $k x - 5 y = 2, 6 x + 2 y = 7$

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Solution

For the system of equations to have no solution, the lines must be parallel.

$\Rightarrow$ The ratio of ' $x$ ' and ' $y$ ' coefficients must be equal.

$\Rightarrow \frac{k}{6} = \frac{- 5}{2}$

$\Rightarrow k = - 15$

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