Найдите решение системы уравнений: x+y=z+1; z-y=3; x=2y.

\[\left\{ \begin{matrix}
x + y = z + 1 \\
z - y = 3\ \ \ \ \ \ \ \ \\
x = 2y\ \ \ \ \ \ \ \ \ \ \ \ \ \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix}
x = 2y\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\
z = y + 3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\
2y + y = y + 3 + 1 \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix}
x = 2y\ \ \ \ \ \ \ \ \\
z = y + 3\ \ \ \\
3y - y = 4 \\
\end{matrix} \right.\ \]

\[\left\{ \begin{matrix}
x = 2y\ \ \ \ \ \\
z = y + 3 \\
2y = 4\ \ \ \ \ \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\ \left\{ \begin{matrix}
y = 2\ \ \ \ \ \ \ \ \\
x = 2 \cdot 2\ \ \\
z = 2 + 3 \\
\end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix}
y = 2 \\
x = 4 \\
z = 5 \\
\end{matrix} \right.\ \]

\[Ответ:(4;2;5).\]