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

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.