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Spiegare gentilmente i ragionamenti e argomentare.

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Sono solo passaggi algebrici

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$\small \begin{Bmatrix}
(x-1)(x+2)-x^2&=&y^2-(y-2)^2\\
\dfrac{y-1}{2}-\dfrac{x+1}{6}&=&\dfrac{1}{3}\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x^2+2x-x-2-x^2&=&y^2-(y^2-4y+4)\\
3(y-1)-(x+1)&=&2\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
\cancel{x^2}+2x-x-2\cancel{-x^2}&=&\cancel{y^2}\cancel{-y^2}+4y-4\\
3y-3-x-1&=&2\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x-4y&=&-4+2\\
3y-x-4&=&2\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x-4y&=&-2\\
3y-x&=&2+4\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x&=&4y-2\\
3y-x&=&6\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x&=&4y-2\\
3y-(4y-2)&=&6\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x&=&4y-2\\
3y-4y+2&=&6\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x&=&4y-2\\
-y&=&6-2\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x&=&4y-2\\
-y&=&4\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x&=&4y-2\\
y&=&-4\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x&=&4(-4)-2\\
y&=&-4\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x&=&-16-2\\
y&=&-4\\
\end{Bmatrix}$

$\small \begin{Bmatrix}
x&=&-18\\
y&=&-4\\
\end{Bmatrix}$



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