1. The problem statement, all variables and given/known data Systems of first order equations can sometimes be transformed into a single equation of higher order. Consider the system (1) x1' = -2x1 + x2 (2) x2' = x1 - 2x2 Solve the first equation for x2 and substitute into the second equation, thereby obtaining a second order equation for x1. Solve this equation for x1 and then determine x2 also. 2. Relevant equations 3. The attempt at a solution Solving (1) for x2 yields: x2 = x1' + 2x1 Substituting into (2) yields: x2' = x1 - 2(x1' + 2x1) Simplifying... x2' = -3x1 - 2x1' How am I supposed to solve this now with the x2' term there?