To solve for x and y in the equation x/5 + 1 = 1/y - 1, we can first isolate x on one side of the equation:

x/5 + 1 = 1/y - 1
x/5 = 1/y - 1 - 1
x/5 = 1/y - 2

Next, we can multiply both sides by 5 to get rid of the fraction:

5(x/5) = 5(1/y - 2)
x = 5/y - 10

Now that we have x in terms of y, we can substitute this expression back into the original equation and solve for y:

5/y - 10/5 + 1 = 1/y - 1
5/y - 2 + 1 = 1/y - 1
5/y - 1 = 1/y - 1
5/y - 1/y = 1 - 1
4/y = 0

This implies that y is undefined, as division by zero is not allowed. Therefore, there is no solution for x and y in this equation.