2. Generalize When using substitution to solve a system of equations, how can you tell when a system has no solution?

When using substitution to solve a system of equations, you can tell when a system has no solution if you substitute one equation into the other and end up with a false statement, such as 0 = 5 or 1 = 2. This indicates that the two equations are inconsistent and do not intersect, meaning there is no solution to the system.