Question #7 - How Many Solutions to the Given System?

Graph the following system (Desmos graphing calculator built in). Then using your graph, identify how many solutions there are to this system.

y=x+3

2x−2y=−6

1 answer

The graph of the system is shown below.

There is one solution to this system, as the two lines intersect at one point on the graph.

Therefore, there is only one solution to the given system.