Bi Axial loading formulae rearranging help

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The discussion revolves around the need to rearrange a specific formula related to bi-axial loading for future assignments. The user, Chet, seeks assistance in converting the first formula into additional forms. Participants confirm that the problem involves two linear algebraic equations with two unknowns. Chet expresses difficulty in reaching the desired equations shown in an attached image. The conversation emphasizes the importance of demonstrating algebraic steps to achieve the necessary rearrangements.
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Homework Statement



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I need some help converting and rearranging the first formula to get the next formulas? As I need this for further reference, for a future assignment!

Not homework!
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Homework Equations



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You have two linear algebraic equations in two unknowns, correct?

Chet
 
Yes that it correct, I just cannot figure out how to reach the equations in image 2
 
Please show us your algebra.

Chet
 
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