LINEAR EQUATIONSAlgebraExample 2:Solve the fractional equation1x21x30Solution:The LCD is (x - 2)(x + 3); therefore, multiply both sides of the equation by (x -2)(x + 3).(x2)(x3)^{}1x21x3(0)(x2)(x3)(x2)(x3)(x2)(x2)(x3)(x3)0(x + 3) + (x - 2) = 02x + 1 = 0Now solve the equation like an ordinary linear equation.Step 1. Transpose the +1 from the left-handto the right-hand side of the equationby changing its sign.2x = 0 - 12x = - 1Step 2. Using Axiom 4, divide both sides ofthe equation by 2.2x212x12MA-02 Page 12 Rev. 0

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