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Math Help - Reversing an equation

  1. #1
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    Reversing an equation

    Not advanced but certainly applied:

    Need to figure out how to reverse this equation for work...

    C = 4.42 - .113 * A + 0.0406 * B

    C = Dwell time in a vessel in minutes

    A = Screw speed drawing material out of a vessel in RPM's

    B = Level in the tank in inches

    How do I solve for "B" if I know what cook time I want to target?

    Thanks for any assistance in advance. My brain must be broken as this seemed simple until I actually sat down and tried to figure it out.
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  2. #2
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    Quote Originally Posted by victurbo View Post
    Not advanced but certainly applied:

    Need to figure out how to reverse this equation for work...

    C = 4.42 - .113 * A + 0.0406 * B

    C = Dwell time in a vessel in minutes

    A = Screw speed drawing material out of a vessel in RPM's

    B = Level in the tank in inches

    How do I solve for "B" if I know what cook time I want to target?

    Thanks for any assistance in advance. My brain must be broken as this seemed simple until I actually sat down and tried to figure it out.
    What do you mean by "cook time"?
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  3. #3
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    Cook Time = Dwell Time

    Sorry for the confusion. It's the order of transposition I'm struggling with. Algebra was a long time ago.
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  4. #4
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    Quote Originally Posted by victurbo View Post
    Cook Time = Dwell Time

    Sorry for the confusion. It's the order of transposition I'm struggling with. Algebra was a long time ago.
    Quote Originally Posted by victurbo View Post
    Not advanced but certainly applied:

    Need to figure out how to reverse this equation for work...

    C = 4.42 - .113 * A + 0.0406 * B

    C = Dwell time in a vessel in minutes

    A = Screw speed drawing material out of a vessel in RPM's

    B = Level in the tank in inches

    How do I solve for "B" if I know what cook time I want to target? [snip]
    C = 4.42 - .113 * A + 0.0406 * B

    therefore C - 4.42 = - .113 * A + 0.0406 * B

    therefore C - 4.42 + .113 * A = 0.0406 * B

    therefore (C - 4.42 + .113 * A)/0.0406 = B.

    B = (C - 4.42 + .113 * A)/0.04

    Of course, you won't be able to get a value for B unless you also know the value of A .....
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  5. #5
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    That did it

    Thanks for the help.
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