Exponents and Algebraic Manipulation

Algebra Level 1

{2a=x3a=yx2+y2+4xy=72+(x+y)2\large \begin{cases} 2^a = x \\ 3^a = y \\ x^2+y^2 + 4xy = 72 + (x+y)^2 \end{cases}

Given the above, find the value of aa.

Kevin Lee by Kevin Lee
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