Jane says that she can use addition to show that the graphs of 2x - 3y = 1 and 2x + 3y = 2 are intersecting lines. in two or more complete sentences, describe the process of using addition to show that the lines are intersecting.

In addition method, we add the two equations which will result to the elimination of one variable. Then, we can find for the solution of x and y. We do it as follows:

    2x - 3y = 1
+ 2x + 3y = 2 

   4x          = 3
              x = 3/4
              y = 1/6

And since we have values for x and y, then they really are intersecting lines at point (3/4,1/6).