For what value of $k$, the system of equations $x - ky = 2$ and $3x + 2y = -5$ has a unique solution?

Explanation

The given equation– $x - ky = 2$ ....................................(i) $3x + 2y = -5$ .................................(ii) If the given equation have unique solution, then– $\frac{1}{3} \neq \frac{-k}{2}$ $-3k \neq 2$ $\boxed{k \neq \frac{-2}{3}}$