We can write the system of equations as AX = B, where A is the matrix of coefficients, X is the column matrix of variables, and B is the column matrix of constants.
A = \begin{bmatrix} 1 & 1 & 0 & 0 \\ 0 & 1 & 1 & 0 \\ 1 & -1 & 0 & 0 \\ 0 & 0 & 1 & -1
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