1. ## Reversing an equation

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.

2. Originally Posted by victurbo

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"?

3. Cook Time = Dwell Time

Sorry for the confusion. It's the order of transposition I'm struggling with. Algebra was a long time ago.

4. Originally Posted by victurbo
Cook Time = Dwell Time

Sorry for the confusion. It's the order of transposition I'm struggling with. Algebra was a long time ago.
Originally Posted by victurbo

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 .....

5. ## That did it

Thanks for the help.