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2.3) Equations with variables on Both Sides

2.3) Equations with variables on Both Sides. Purpose: To solve equations with variables on both sides of the equation Outcome: To identify equations that are identities or have no solution. Solve the given equation and check your answer. 6x + 3 = 8x -21 18x – 5 = 3(6x -2).

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2.3) Equations with variables on Both Sides

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  1. 2.3) Equations with variables on Both Sides Purpose: To solve equations with variables on both sides of the equation Outcome: To identify equations that are identities or have no solution.

  2. Solve the given equation and check your answer • 6x + 3 = 8x -21 • 18x – 5 = 3(6x -2) • What is the name of this type of equation? • How do you solve the equation? • How many solutions does each equation have?

  3. Special cases: Identities and No solutions Solve the equation: Solve the equation: 6m – 5 = 7m + 7 –m How many solutions do you found?___ What is the name of this type of equation? _______ • 10 – 8a = 2(5 -4a) • How many solutions do you Found?____ • What is the name of this type of Equation? _______

  4. Summary:To solve an equation with variables on both sides of the equation:1) Remove ( )2) Combine like terms on each side of the equation3) Send all the variables to one side of the equation and the numbers to the other side4) Solve for the variable5) Check your answer.

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