System of 3 equations

Algebra Level 2

x+2y+4z=73x+5y+7z=99x+6y+2z=10x+y+z= ?\large \begin{aligned} \color{#3D99F6}{x} + 2\color{#20A900}{y} + 4\color{#D61F06}{z} &= 7 \\ 3\color{#3D99F6}{x} + 5\color{#20A900}{y} + 7\color{#D61F06}{z} &= 9 \\ 9\color{#3D99F6}{x} + 6\color{#20A900}{y} + 2\color{#D61F06}{z} &= 10 \\ \color{#3D99F6}{x}+\color{#20A900}{y}+\color{#D61F06}{z} &= \ ? \end{aligned}

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