<PRE><B>Question 37162</B>
This problem can be solved by substitution because you have two unknowns and two equations.


Solve the first equation for b:
a+2/b = 1/2
2a+4 = b


Substitute the found value for b into the second equation:
a/b+3 = 1/3
a/2a+4+3 = 1/3
3a = 2a + 7
a = 7


Now substitute the found value for a into the first equation:
2a+4 = b
2(7)+4 = b
18 = b


a+b = 7+18 = 25</PRE>