Arranging & Combining Equations (problem)

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The discussion revolves around combining and rearranging the equations P = aR²T⁴ and E = p / bd² to derive the expression a/b = Ed² / R²T⁴. Participants express confusion about how to start the problem, particularly regarding the relationship between the variables P and p. Clarification is provided that both P and p represent the same variable. A suggested approach is to divide the first equation by the second to facilitate the rearrangement, although participants remain uncertain about the execution of this step. The conversation highlights the need for clear instructional guidance on handling such equations.
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Figured it out!
 
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drsponge said:

Homework Statement



P = aR2T4
and
E = p / bd2

(a and b are constants.)


Homework Equations



If these two equations are combined and rearranged an expression can be derived for a/b:
a / b = Ed2 / R2T4

Show how this has been done, step by step.

The Attempt at a Solution



I have no idea where to begin & I can't find good instruction anywhere on how to handle this.
An obvious first step would be to divide each side of the first equation by the corresponding side of the second equation.
 
drsponge said:

Homework Statement



P = aR2T4
and
E = p / bd2

(a and b are constants.)


Homework Equations



If these two equations are combined and rearranged an expression can be derived for a/b:
a / b = Ed2 / R2T4

Show how this has been done, step by step.

The Attempt at a Solution



I have no idea where to begin & I can't find good instruction anywhere on how to handle this.

Are little p and big P the same variable? In the final equation they don't appear so I would assume you solve for P in one equation and plug it into the other equation for P.
 
scurty said:
Are little p and big P the same variable? In the final equation they don't appear so I would assume you solve for P in one equation and plug it into the other equation for P.


Sorry they're the same variable.
 
Mark44 said:
An obvious first step would be to divide each side of the first equation by the corresponding side of the second equation.

I don't know how this would go though? Divide both sides by P / bd2 to give bd2 = aR2T4 / p / bd2?
 
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