Just something cool I found today in Class

Algebra Level 2

\[ \quad \begin{array}{ c | c c c c c c c} & 1 & 2 & 3 & 4 \\ \hline \\ 1 & \text{a} & \text{b} & \text{c} & 1 \\ 2 & \text{d} & \text{e} & \text{f} & 1 \\ 3 & \text{g} & \text{h} & \text{i} & 1 \\ 4 & \text{x} & 1 & 1 & \text{y} \\ \end{array}\]

Cells \((1,4)\), \((2,4)\), and \((3,4)\) represent the sum of the values in rows 1,2, and 3 respectively.

Columns \((4,1)\), \( (4,2)\), and \((4,3)\) represent the sum of the values in columns 1,2 and 3 respectively.

Find the value of \(\text{x}\)

Details and Assumptions

\((p,q)\) represents row \(p\) column \(q\).

\(a\) is in cell \((1,1)\).

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