Algebra 2 Companion Book, Volume 1

2.1.1 Solving Linear Equations and Inequalities (continued) Example 2 Solving Equations with the Distributive Property Recall that the Distributive Property states that a ( b + c ) = ab + ac and a ( b − c ) = ab − ac .

Example 3 Solving Equations with Variables on Both Sides If the variable in a linear equation in one variable is on both sides of the equation, then use the following steps to solve that equation. 1. Simplify each side of the equation. 2. Collect all variable terms on one side of the equation and collect the constant terms on the other side. 3. Isolate the variable using inverse operations.

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