2.1.5 Solving Equations with Variables on Both Sides (continued) Example 2 Solving Equations with Variables on Both Sides In Example 2, Prof. Burger demonstrates simplifying an equation with variables on both sides before solving it. When possible, always simplify an equation before using inverse operations to solve.

Example 3 Identifying Identities and Contradictions

Prof. Burger discusses two specific types of equations in Example 3: identities and contradictions. An equation is an identity if all possible values of the variable are solutions to the equation. An equation is a contradiction if there are no possible values of the variable that are solutions to the equation.

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