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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
4, x, plus, 5, y, equals, minus, 5
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Answered by
GPT-5 mini
AI
Interpreting the input as the single linear equation 4x + 5y = −5, this is one equation in two unknowns, so there are infinitely many solutions.
Parametric description: let t be any real number, take x = t and y = (−5 − 4t)/5.
Examples: x = 0, y = −1; or x = −5/4, y = 0.
Parametric description: let t be any real number, take x = t and y = (−5 − 4t)/5.
Examples: x = 0, y = −1; or x = −5/4, y = 0.
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