First I chose two of the equations: ab=a/b
(ab)/b = (a/b)/b
a = a/b^2
(a)/a = (a/b^2)/a
1 = a/b^2/a
1 = 1/b^2
b^2 = 1
b = sqrt(1)
b = 1
Plugged it back into the equations
a(1) = a + 1 = a/1
a = a + 1 = a/1
a = a + 1 is false
There is no solution.
The closest that's possible is 0, where:
(0)(0) = 0 + 0 = 0/0
0 = 0 = undefined
0/0 is undefined and thus there is no solution.
If you want reasoning for 0/0 being undefined:
It is understood that any number over itself equals 1 (such as 1/1 = 1, 2/2 = 1, 27/27 = 1)
It is also understood that zero divided by any number equals 0 (such as 0/1 = 1, 0/2 = 0, and 0/27 = 0)
Because both arguments stand, you cannot define 0/0 as either 1 or 0, leaving it as undefined.
