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Math Help - Solving for z

  1. #1
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    Solving for z

    I have forgotten the easiest way to do this. I need to solve for z: (3) / (z - 3) + (5) / (z - 1) = (8) / (z - 2) Thanks as always for your help!
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  2. #2
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    Quote Originally Posted by jay1 View Post
    I have forgotten the easiest way to do this. I need to solve for z: (3) / (z - 3) + (5) / (z - 1) = (8) / (z - 2) Thanks as always for your help!
    Write everything with a common denominator.
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by jay1 View Post
    I have forgotten the easiest way to do this. I need to solve for z: (3) / (z - 3) + (5) / (z - 1) = (8) / (z - 2) Thanks as always for your help!
    Multiply both sides of the equation by the LCD: In this case, it is

    (z-1)(z-2)(z-3)
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    Quote Originally Posted by vonnemo19 View Post
    multiply both sides of the equation by the lcd: In this case, it is

    (z-1)(z-2)(z-3)
    z = 6?
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    Quote Originally Posted by jay1 View Post
    z = 6?
    Correct.
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  6. #6
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by jay1 View Post
    z = 6?
    Well, Lets see what happens when we plug it back in

    \frac{3}{6-3}+\frac5{6-1}=\frac8{6-2}

    Is 1+1\neq2?
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