The real numbers x and y satisfy
xy = 1/9
x(y + 1) = 7/9
y(x + 1) = 5/18
What is (x + 1)(y + 1)?
x(y + 1) = 7/9 ---> xy + x = 7/9 ---> 1/9 + x = 7/9 ---> x = 6/9 ---> x = 2/3
y(x + 1) = 5/18 ---> y( 2/3 + 1 ) = 5/18 ---> y(5/3) = 5/18 ---> y = 1/6
Now you know the values of both x and y, so (x + 1)(y + 1) = ...