To solve the system of equations:

1) x/2 = y/3
2) x + y = 1/2

We can start by solving equation 2) for x:

x = 1/2 - y

Now substitute this value of x into equation 1):

(1/2 - y)/2 = y/3

Multiply both sides of the equation by 6 to eliminate the fractions:

3(1/2 - y) = 2y

3/2 - 3y = 2y

Add 3y to both sides:

3/2 = 5y

Divide both sides by 5:

y = 3/10

Now substitute this value of y back into equation 2) to find x:

x + 3/10 = 1/2

Subtract 3/10 from both sides:

x = 1/2 - 3/10

x = 5/10 - 3/10

x = 2/10

Simplifying, x = 1/5

Therefore, the solution to the system of equations is x = 1/5 and y = 3/10.