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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
minus, x, plus, y, equals, minus, 5
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GPT-5 mini
AI
The equation is -x + y = -5, which is one linear equation in two unknowns. It defines a line, so there are infinitely many solutions.
General solution: y = x - 5, i.e. (x,y) = (t, t-5) for any real parameter t (examples: (0,-5), (5,0), ...).
General solution: y = x - 5, i.e. (x,y) = (t, t-5) for any real parameter t (examples: (0,-5), (5,0), ...).
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