Question

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.

Answer 1

For this case we have the following equations:
 2x - 3y = 1
 2x + 3y = 2
 When adding both equations we observe that:
 Sentence 1: we have an equation of a variable, which in this case will be x. We can clear the value of x.
 Sentence 2: Knowing the value of x, we can substitute in any equation and find the value of y.
 Sentence 3: The value of x and y represents the point of intersection of both lines (x, y).