Equivalent equations are systems of equations that have the same solutions. Identifying and solving equivalent equations is a valuable skill, not only in algebra class but also in everyday life. Take a look at examples of equivalent equations, how to solve them for one or more variables, and how you might use this skill outside a classroom. Putting these rules into practice, determine whether these two equations are equivalent: 1. x + 2 = 7 2. 2x + 1 = 11 To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent.