For the question "Which input value produces the same output value for the two functions on the graph?" The solution of a system of equations is the point at which both the input value and the output value of the equations have the same value. Graphically, it is the point of intersection of the graphs representing the equations. Here the point of intersection of the line representing the graph is point (-2, 1) with an x-value of -2 and a y-value of 1. The input value of a function is the x-value of the function. Therefore, the input value that produces the same output value for the two functions on the graph is -2.