Find the value of k for which the system of equations 2x + 2y = 5, 3x + ky = 7 has no solution.

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None of these

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Solution

The correct option is C 3
For no solution to exist, we need
$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}} \Rightarrow \frac{2}{3} = \frac{2}{k}, i . e ., k = 3$

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