# SOLUTION: This is subtracting a rational equation. I am not able to get it. Page 444 problem # 40 ( ISBN 0536269610) 5 30 ___ - ______ = 1 y-3

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: This is subtracting a rational equation. I am not able to get it. Page 444 problem # 40 ( ISBN 0536269610) 5 30 ___ - ______ = 1 y-3      Log On

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 Algebra: Polynomials, rational expressions and equations Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Polynomials-and-rational-expressions Question 129175: This is subtracting a rational equation. I am not able to get it. Page 444 problem # 40 ( ISBN 0536269610) 5 30 ___ - ______ = 1 y-3 y^2-9 or... 5/(y-3) - 30/y^2-9 = 1 Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Solve for y: Factor the second denominator. Multiply the first fraction by to get the fractions over a common denominator. Multiply both sides by Perform the indicated multiplication on both sides. Simplify. Subtract 5y from both sides. Add 15 to both sides. Factor this quadratic equation. Apply the zero product principle. or , therefore... or CAUTION!!! The original equation is: If you substitute y = 3, you will get: = ...and, as you know, division by zero is undefined and thus not allowed. So you have only one valid solution to this problem: y = 2