Question

when you solve a system of equations (i.e. two equations with two variables each), what possible form(s) could the solution take

Answer 1

The solution to a system of equations can take the form of a single ordered pair (x, y) that satisfies both equations, or it can take the form of "no solution" if the equations are inconsistent, or it can take the form of "infinitely many solutions" if the equations are dependent.