Series connection of transmission lines described by telegrapher's equations

My issue concern the definition of series connection of multiple transmission lines described by the so called constant parameter model, to be next simulated in EMTP-RV. Let us take as an example two transmission lines of length respectively $$\Delta x_1,\Delta x_2$$ described by the telegapher's equations

$$L_i\frac{\partial I_i(x,t)}{\partial t}=-R_iI_i(x,t)+\frac{\partial V_i(x,t)}{\partial x}\\ C_i\frac{\partial V_i(x,t)}{\partial t}=-G_iV_i(x,t)+\frac{\partial I_i(x,t)}{\partial x}.$$

with i=1,2. Is it possible to obtain an equivalent aggregated model in the form of telegrapher's equation via linear combination of the two systems? By setting for example $$\Delta x_{eq}=\Delta x_1+\Delta x_2$$ which are the corresponding values of $$L_{eq},C_{eq},R_{eq},G_{eq}$$ ?