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

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24-06-2017
Mathematics

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

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tiara143 tiara143 · Answer 1 · 2017-06-30T19:27:44+02:00

tiara143 tiara143

30-06-2017

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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