If x = -2k and y = 1 - 3k, then for what value of k, will be x = y?

Answer: Option B

$$\begin{array}{rl}& \text{Given,}\\ & x=-2k\text{ and }y=1-3k\\ & \therefore \text{For }x=y\\ & \Rightarrow -2k=1-3k\\ & \Rightarrow k=1\end{array}$$