Work Step by Step
1. In both cases, our first step is to eliminate one of the variables (unknowns), and reduce the system to one equation less than initially. If needed, in both cases we repeat step 1 until we have 1 equation in one unknown. 2. In both cases, we solve for one of the variables after the elimination. (The only difference is, that in the case of nonlinear systems, the last equation may have several solutions, but it does not alter the goal of the step. ) 3. In both cases, we back-substitute to find the eliminated variable. (The only difference is, that in the case of nonlinear systems, the last equation may have several solutions. ) The goal of the steps are the same, so we can say that we perform roughly the same steps/ So, yes, the statement makes sense.