If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel then the value of k is ______.

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If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel then the value of k is underlinebb($\frac{15}{4}$). Explanation: For parallel lines, we have `(a_1)/(a_2) = (b_1)/(b_2) $\neq$ (c_1)/(c_2). $\therefore$ $\frac{3}{2}$ = (2k)/5 $\neq$ (-2)/1 $\Rightarrow$ k = $\frac{15}{4}$ and k $\neq$ –5 $\Rightarrow$ k = $\frac{15}{4}$`

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