SOLUTION: How do I begin to solve this equation (absolute value bar)2x+1/3x+4(absolute value bar) = 1

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 Algebra: Absolute value Solvers Lessons Answers archive Quiz In Depth

 Question 488937: How do I begin to solve this equation (absolute value bar)2x+1/3x+4(absolute value bar) = 1Answer by stanbon(57361)   (Show Source): You can put this solution on YOUR website! How do I begin to solve this equation (absolute value bar)2x+1/3x+4(absolute value bar) = 1 ------------------------ |(2x+1)/(3x+4)| = 1 ---- Draw a number line. Plot x = -1/2 and x = -4//3 on the line ---- Determine the sign of the fraction in each of the three line intervals. ------ If x < -4/3 the fraction is -/- = positive So (2x+1)/(3x+4) = 1 2x+1 = 3x+4 x = -3 ---- If -4/3 < x < -1/2, the fraction is -/+ = negative So (2x+1)/(3x+4) = -1 2x+1 = -3x-4 5x = -5 x = -1 ------------- If x > -1/2 the fraction is +/+ = positive You get x = -3 as you did above. ==================================== Cheers, Stan H.