Finding current over controllable voltage source using nodal analysis
These two are obvious by inspection:

$$\begin{align*}
V_3&amp;= 13 \:\text{V}\\\\
V_0&amp;= V_2
\end{align*}$$

These are from simply writing out the nodal equations:

$$\begin{align*}
V_1\cdot 1\:\text{S} + I_0 + V_1\cdot 2\:\text{S}&amp;=2\:\text{A}+V_3\cdot 2\:\text{S}\\\\
V_2\cdot 4\:\text{S}+V_2\cdot 8\:\text{S}&amp;=I_0+V_3\cdot 8\:\text{S}\\\\
V_2+2\cdot V_0&amp;=V_1
\end{align*}$$

There are three unknowns: \$I_0\$, \$V_1\$ and \$V_2\$. (\$V_0\$ is \$V_2\$.)

It's really no harder than that.

Are you able to solve those three equations for the unknowns?