Dear Professor Cram:
What is the solution to the system of equations: x = y and x = -y?
KG, US Navy
KG, thank you for this algebra question.
The easiest way to solve this system of equations problem is by using the graphing method.
(Use the illustration to the left for a helpful guide.) If we graph the first equation, we get a diagonal line passing through the origin sloping upwards. (See the blue line in the illustration.) Graphing the second equation gives us a diagonal passing through the origin and sloping downwards. (See the pink line in the illustration.)
From visual inspection, we can see that the lines intersect at one place only -- the origin. Thus, the solution to this system is (0,0).
Good studying,
Professor Cram
Keywords: Algebra, graphing, graphing method, math, math help, system of equations, Using the Graphing Method