Using balance equations, we have \begin{align} \pi_{1} &= \pi_{1}p_{11} + \pi_{2}p_{21}\newline \pi_{2} &= \pi_{1}p_{12} + \pi_{2}p_{22}\newline \pi_{1} + \pi_{2} &= 1 \end{align} Solving, $\pi_{1} = \frac{2}{7}$ and $\pi_{2} = \frac{5}{7}$