If xy+z=x(y+z)

[agha79]

If xy+z=x(y+z), which of the following must be true?

A. x=0 and z=0
B. x=1 and y=1
C. y=1 and z=0
D. x=1 or y=0
E. x=1 or z=0

OA is E. I figured more then one answer choices can hold the equality e.g B. Can anyone please help!

Thanks!

[jnelson0612]

Please see this thread: if-xy-z-x-y-z-which-of-the-following-must-be-true-t10841.html