Determine conditions on a, b, c, and d so that the systems of equations in Exercise have solutions.
x1 – x2 + x3 + x4 = a
x1 + x2 – 2x3 + 3x4 = b
3x1 – 2x2 + 3x3 – 2x4 = c
2x2 – 3x3 + 2x4 = d
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