System of 3 equations

Algebra Level 2

\[\large \begin{align} \color{blue}{x} + 2\color{green}{y} + 4\color{red}{z} &= 7 \\ 3\color{blue}{x} + 5\color{green}{y} + 7\color{red}{z} &= 9 \\ 9\color{blue}{x} + 6\color{green}{y} + 2\color{red}{z} &= 10 \\ \color{blue}{x}+\color{green}{y}+\color{red}{z} &= \ ? \end{align}\]

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