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    Solving Rational Expressions

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    I'm having a difficult time figuring out some of these! For some reason the -1 in this problem is throwing me off - I think! Here's what I came up with last time, I keep getting a different answer each time I work it.

    3/(y+5) -1 = (4-y)/(2y+10)
    3/(y+5)-1 = (4-y)/2(y+5)
    y is not equal to -5
    LCD is 2(y+5)

    2(y+5)*3/(y+5) = 6
    2(y+5)*-1 = -2(-y-5)
    2(y+5)*(4-y)/2(y+5)=4-y

    6-2(-y-5)=(4-y)
    6+2y+10 = (4-y)
    2y+16=(4-y)
    3y=-12
    y=-4

    Can you help me figure out where I am going wrong?

    © BrainMass Inc. brainmass.com March 4, 2021, 6:11 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/solving-rational-expressions-34024

    Solution Preview

    Ok, we have:

    3/(y+ 5)- 1= (4- y)/(2y+ 10), so if we take the common denom. of the left hand side we will ...

    Solution Summary

    Rational expressions are solved. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

    $2.49

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