Combine Equations to Find Relationship Between D, F, and L

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SUMMARY

The discussion focuses on combining two equations, D = AF and D = BL^3, to establish a relationship among the variables D, F, and L. The participants conclude that while it is possible to derive a single equation, such as D = (AF + BL^3)/2, the lack of a third equation prevents definitive solutions due to the presence of three unknowns. Graphical representation in three dimensions is suggested as a method to visualize the relationships, but it does not resolve the fundamental issue of insufficient equations.

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i have two equations:
D=AF (A is a constant)
D=BL^3 (B is a constant)
I'm trying to combining them and use a third variable to get a relationship between D F and L
I've tried AF=BL^3
A/B=(l^3)/F
but I'm stuck
 
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You cannot solve those equations - you have three unknown variables and just two equations.

You can get a single equation where all variables appear, but how would that help? As an example, start with 2D=2BL3 and replace 2D = D+D = D+AF to get D+AF=BL3
 
If all you want is a relationship between the three variables, you can add the two equations together and get

2D = AF + BL^3

D = (AF + BL^3)/2

You could probably graph this three-dimensionally, but you'll need a third equation to solve it definitively.
 

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