1. The problem statement, all variables and given/known data Consider the system x'= -x+y y'= -2y Find the general solution (x(t),y(t)) by first solving for y(t) and then solving for x(t). 2. Relevant equations Should I use undetermined coefficients for each of these separate diff eqs or should I substitute x'+x into the y' +2y=0? 3. The attempt at a solution When I attempted this, I substituted x'+x into y'+2y=0 and got ae^-2t +be^-t where a and b are arbitraty constants. I am not sure if I need to look at a particular solution using undetermined coefficients or if I am even on the right track??