Question

Harry is working on systems of equations. He wants to understand the connection between the solution and the graph of the system. a. First, Harry has two equations each with two variables, x and y. When he tries to solve the system, he gets no solution. What can you tell him about the graphs of these equations?​

Answer 1

If Harry tries to solve a system of equations with two variables, x and y, and he gets no solution, it means that the system of equations is inconsistent. This means that the equations do not intersect or overlap on a common solution point on the graph. In graphical terms, this would mean that the graphs of these equations are parallel or non-intersecting lines. This indicates that there is no simultaneous solution that satisfies both equations, and the system has no solution or is "empty" on the graph.

Explanation: