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The substitution method is a powerful tool used to solve systems of equations and to evaluate mathematical expressions, including inequalities. When you are given a specific point, such as Iterating on the substitution method, let's examine why replacing the variables with zero led to the inequality evaluating inequalities and the coordinate system.

When you come across an inequality, such as Ax + By < C, evaluating it involves replacing the variables with specific numbers and verifying whether the inequality holds true or not. For example, you substituted the coordinates of the origin Assessing the truth of inequalities is an essential skill in algebra, particularly when analyzing solution sets or determining if points lie within certain regions on a graph. It enables you to understand how different values can satisfy or violate an inequality.

The coordinate system is a two-dimensional plane where any point can be identified by its x (horizontal) and y (vertical) coordinates. In the context of graphing inequalities, every point on the plane Understanding the coordinate system is crucial for graphing solutions of inequalities because it allows us to visualize the regions where the inequality is true. In the case of Ax + By < C, if we can determine that (0,0) is not part of the solution set, we've learned that the region containing the origin is not part of the graph of the inequality. As an exercise improvement, always consider the relationship between an inequality's coefficients and the orientation of the resulting boundary line or curve in the coordinate system.