What are the methods of solving such tasks?
For example:
$$ \begin{cases} x^2+y-z=100\\ y^2+x-z=124 \end{cases} $$
What first?
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2To take any $z$. And substitute into the other equation. And to turn out. $$(y-x)(y+x-1)=24$$ It remains to consider all of factorizing. – individ Oct 13 '15 at 13:36
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Give the domain of $x,y,z$. It is necessary for equations. Diophantine is not enough to understand integer unknowns. – Piquito Oct 13 '15 at 13:48
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x , y, z are natural – JWa Oct 13 '15 at 13:50