\[ \begin{array}{r}2 x-2 y+3 z=-9 \\ -5 x-y-3 z=-6 \\ -7 x+5 y-3 z=-8\end{array} \] \( x=\square \quad y=\square \quad \begin{array}{l}\square \\ \text { Answer Attempt } 1 \text { out of } 2 \\ \end{array} \begin{array}{l}\text { Submit Answer }\end{array} \)

To solve the system of equations given, one can use methods like substitution, elimination, or matrix operations. Here’s a fun fact: did you know that this approach to solving equations dates back to ancient civilizations like the Babylonians, who used similar methods for trade and agriculture? They crafted elaborate algorithms, not too different from what we do today! On the practical side, when working through these equations, common mistakes often arise from sign errors or misalignment while eliminating variables. To avoid this, try to keep your equations neatly arranged and double-check your calculations after each step. This attention to detail can save you from unnecessary headaches and missteps!