# Discussion Board Exploring Systems of Equations and Inequali

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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 two persons (or objects) are traveling along linear paths,and we need to find the coordinates where 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 two equations with two variables of your own creation. when posting your response to the Discussion Board, solve the system with one of the following techniques and explain why you chose that technique:

. Gaussian elimination

. Substitution

. Cramer's rule

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