2.1.5 Solving Equations with Variables on Both Sides

Key Objectives • Solve equations with variables on both sides. • Identify identities and contradictions. • Write and solve equations with variables on both sides. Key Terms • An identity is an equation that is true for all values of the variable. • A contradiction is an equation that has no solutions. The equation is never true.

To solve an equation where the variable occurs on both sides, combine the terms that contain a variable on one side of the equation by adding or subtracting one of the terms to both sides of the equation Example 1 Solving Equations with Variables on Both Sides In Example 1, Prof. Burger demonstrates solving simplified equations that have variables on both sides of the equation.

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