and are two batteries having emf of and respectively and internal resistance of and respectively…

$\varepsilon_1$ and $\varepsilon_2$ are two batteries having emf of $34\text{V}$ and $10\text{V}$ respectively and internal resistance of $1\,\Omega$ and $2\,\Omega$ respectively. They are connected as shown in Figure 3 below. Using Kirchhoff’s Laws of electrical networks, calculate the currents $I_1$ and $I_2$.