You solved a linear system with two equations and two variables and got the equation o=-8. how many solutions does the system of equations have

If you simplified a two-equation system and all variables were eliminated, two outcomes are possible.

If the final equation is a true equation, like 3=3, then the system has an infinite number of solutions  (the equations graph the same line, and all points appear on both graphs)

If the final solution is a mathematically false equation, like 0=-8, the system has no solution. The lines are parallel and never intersect (have a solution)