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order for negative 1,7 to be a solution for the system, both equations - x + 2y = 13 and 3x - y = -11 - need to be satisfied. This means x = -1 and y = 7 must fulfill both equations. Testing the first equation x + 2y = 13 with x = -1 and y = 7, -1 + 2(7) = 13, which simplifies to -1 + 14 = 13, proving it to be a solution.