To solve the system of equations, we can use the substitution method.

First, let's solve the second equation for x:
1/x + 1/y + 1 = 1
Multiply both sides by xy to get rid of the denominators:
y + x + xy = xy
Rearrange the terms:
xy + x + y = xy
Subtract xy from both sides:
x + y = 0

Now we can substitute this value of x into the first equation:
2x + 3y = xy + 5
2(0) + 3y = 0y + 5
3y = 5
Divide both sides by 3:
y = 5/3

Substituting this value of y back into the equation x + y = 0:
x + (5/3) = 0
x = -5/3

Therefore, the solution to the system of equations is x = -5/3 and y = 5/3.