(x+y)(y+z)=5(x+y)(y+z)

Question

(x+z)(y+z)=7(y+z)(x+z)
(x+y)(x+z)=6(z+x)(x+y)
find xyz
show work plz

Answer 1

(x+y)(y+z)=5(x+y)(y+z)
one cow = 5 cows
Please check for typos

Answer 2

clearly x = -y = -z
y = -z

so, they are all zero.