Spiegare gentilmente i ragionamenti e argomentare.
{ 2x - y = 5
{ x + y = 2*8
Sommando 3x = 5 + 16
x = 21/3 = 7
y = 16 - 7 = 9
2a-b = 5
a+b = 16
a+2a-5 = 16
3a = 21
a = 7
b = 16-7 = 9
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$\small \begin{Bmatrix}
2x-y&=&5\\
\dfrac{x+y}{2}&=&8\\
\end{Bmatrix}$
$\small \begin{Bmatrix}
2x-y&=&5\\
x+y&=&16\\
\end{Bmatrix}$
$\small \begin{Bmatrix}
2x-y&=&5\\
x&=&16-y\\
\end{Bmatrix}$
$\small \begin{Bmatrix}
2(16-y)-y&=&5\\
x&=&16-y\\
\end{Bmatrix}$
$\small \begin{Bmatrix}
32-2y-y&=&5\\
x&=&16-y\\
\end{Bmatrix}$
$\small \begin{Bmatrix}
-3y&=&5-32\\
x&=&16-y\\
\end{Bmatrix}$
$\small \begin{Bmatrix}
-3y&=&-27\\
x&=&16-y\\
\end{Bmatrix}$
$\small \begin{Bmatrix}
\dfrac{\cancel{-3}y}{\cancel{-3}}&=&\dfrac{-27}{-3}\\
x&=&16-y\\
\end{Bmatrix}$
$\small \begin{Bmatrix}
y&=&9\\
x&=&16-9\\
\end{Bmatrix}$
$\small \begin{Bmatrix}
y&=&9\\
x&=&7\\
\end{Bmatrix}$