AlgebraLINEAR EQUATIONSStep 3. Check the root by substituting it for the unknownsin the original equation.Example 1:Solve the equation 3x + 7 = 13.Solution:Step 1. Using Axiom 2, subtract 7 from both sides of theequation.3x + 7 - 7 = 13 - 73x = 6Step 2. Using Axiom 4, divide both sides of the equation by3.3x363x = 2Step 3. Check the root.3(2) + 7 = 6 + 7 = 13The root checks.Example 2:Solve the equation 2x + 9 = 3(x + 4).Solution:Step 1. Using Axiom 2, subtract 3x and 9 from both sidesof the equation.2x + 9 = 3(x + 4)2x + 9 - 3x - 9 = 3x + 12 - 3x - 9-x = 3Step 2. Using Axiom 4, divide both sides of the equation by-1.x131x = -3Rev. 0 Page 7 MA-02
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