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30 August, 19:28

Suppose a and b are integers. How many solutions are there to the equation ab = 2a + 3b?

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  1. 30 August, 20:05
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    The equation is ab = 2a + 3b

    Then, ab = 2a + 3b

    We will solve for "a" we get,

    1) Add - 2a to both the sides of the equation,

    -2a + ab = 2a + - 2a + 3b

    On solving we get,

    - 2a + ab = 3b

    Again we have reached the same equation with which we started. We cannot determine the roots of the equation

    Thus, There are no solutions to this equation.
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