# 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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