Circuit theory. Find the node voltages
Well, we are trying to analyze the following circuit:







simulate this circuit &ndash; Schematic created using CircuitLab

When we use and apply KCL, we can write the following set of equations:

$$\text{I}_1=\text{I}_2+\text{I}_3\tag1$$

When we use and apply Ohm's law, we can write the following set of equations:

$$
\begin{cases}
\text{I}_1=\frac{\text{V}_1-\text{V}_3}{\text{R}_1}\\
\\
\text{I}_2=\frac{\text{V}_2-\text{V}_1}{\text{R}_2}\\
\\
\text{I}_3=\frac{\text{V}_2}{\text{R}_3}
\end{cases}\tag2
$$

We also see that \$\text{V}_2-\text{V}_3=\text{n}\cdot\text{V}_2\$.


  Now, using those equations your problem can be solved.