Question

What are the solutions of the following systems?[2x + 2y = 2|--4x – 4y = -4O no solutionsO (-8,5)O infinitely many solutionsO (8,-5)

Answer 1

First we look at each graph, for 2x + 2y = 2 we have:

then, look at the graph for -4x-4y = -4 :

as you can see, both equations have the same graph, therefore, the system has infinitely many solutions, since each point of the line is a solution.