x+y=44
x^2-y^2 = 528
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How would anybody solve that?

y = 44-x

x^2 - (44-x)^2 = 528

(44-x)(44-x)

1936 - 88x - x^2

x^2 - x^2 cancel each other out

1936 - 88x = 528
+1936        +1936

88x = 2464
/88   /88

x = 28