Please solve this equation system:

xy+x+y=11

xz+x+z=14

yz+y+z=19

First I factorized everything:

(x+1)(y+1)=12

(x+1)(z+1)=15

(y+1)(z+1)=20

After that I tried the substitution method, however I fail to solve it.

I should I countinue?

Thank you in advance!