Programmers need to solve systems of equations, which often come up during the design of the games. As an example, suppose in a video game 2 persons (or objects) are traveling along linear paths, and you need to find the coordinates at which they might potentially collide. Suppose the two lines are 2x + 3y = 8 and 4x - y = -2. Solving the system of equations would give you the (x, y) coordinates of the possible collision.
Make a system of 2 equations with 2 variables of your own creation.
Discuss which technique (Gaussian elimination, substitution, or Cramer's rule) you prefer when solving a system of equations. Why? What circumstances would cause you to use a different method? You do not have to solve the systems of equations.