Question

You graph a system of equations and the two lines intersect one another. Explain what this tells you about the:

solution to the system
the two equations
the result if the system was solved algebraically

Answer 1

If two lines intersect one another, then they do so at only one point.


This tells us that a system of 2 equations with two unknowns will only have one solution in the form (x,y)


For example, the system

x+y = 5
x-y = 1


graphs two lines that intersect at the point (3, 2)


This means that the only solution to the system is (3,2) and that x = 3 and y = 2

Answer 2

the point of intersection is the ordered part that is a solution to both equations...

Answer 3

I don't get it