September 06, 2012 Lesson 2.2 The Multiplication Principle of Equality Multiplication Principle of Equality To clear a coefficient in an equation, multiply both sides of the equation by the multiplicative inverse of that coefficient or divide both sides by the coefficient. Solve each using the multiplication principle of equality. 1 September 06, 2012 Solving Linear Equations To solve linear equations in one variables, 1. Simplify both sides of the equations as needed. a) Distribute to clear parenthesis. b) Combine like terms. 2. Use the addition principle so that all variable terms are on one side of the equation and all constant terms are on the other side. Then combine like terms. 3. Use the multiplication principle to clear any remaining coefficients. Solve. 2 September 06, 2012 Solve. Identity, all real numbers are solutions. 3 September 06, 2012 4 September 06, 2012 5 September 06, 2012 w x 12 15 w+2 y 6