Question

find the value of k if the line represented by the equation 5x+2ky=3k passes through the point (2,2)​

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{equation}\mathrm{of}\mathrm{the}\mathrm{line}\mathrm{is}, \\ 5\mathrm{x}+2\mathrm{ky}=3\mathrm{k} \\ \mathrm{Now},\mathrm{the}\mathrm{above}\mathrm{line}\mathrm{passes}\mathrm{through}\left(2,2\right). \\ \mathrm{So},\mathrm{put}\mathrm{x}=2\mathrm{and}\mathrm{y}=2\mathrm{in}\mathrm{the}\mathrm{above}\mathrm{equation},\mathrm{we}\mathrm{get} \\ 5\times 2+2\mathrm{k}\times 2=3\mathrm{k} \\ \Rightarrow 10+4\mathrm{k}=3\mathrm{k} \\ \Rightarrow 4\mathrm{k}-3\mathrm{k}=-10 \\ \Rightarrow \mathrm{k}=-10 \end{gathered}$$