An algebra problem by Annie Li

Algebra Level 3

\[\large \begin{cases} 2x – y –2z = -3 \\ x + 3y + 2 = -1 \\ 5x – 4y + 3z = 10 \end{cases} \]

Real numbers \(x\), \(y\) and \(z\) satisfy the system of equations above. What is \(x + y + z\)?

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