For how many positive integers \(x\) and \(y\) satisfy that \(2xy+x+2y=899\)?
a. 8
b. 9
c. 18
d. 26
e. 27
please please please help me!
2xy + x + 2y = 899
I re-wrote it: 2xy + x + 2y = 899 ---> 2xy + 2y = 899 - x ---> (2x + 2)y = 899 - x
---> y = (899 - x) / (2x + 2)
From this, I could get these solution; (11,37) (19,22) (35,12) (59,7)
(99,4) (112,3) (179,2) (299,1)
+9 
