Please help me in this question as soon as possible. thank you 1/x+1/y+1/z = 1 where x is less than y and y is less than z. Find x,y,z

look to get 3 unknowns, you must should have at least 3 equations. but here is only one. so you must be clever. we cancel 2 terms. say, taking x= -2, z=+2, 1/x + 1/z =0. So now, 1/y=1, y=1. you have to take x and z with same number but with diff sign. as x is the least, x must be of  -ve sign. and y must be 1.