Question

If 1/x+1/y=1/z and xy = z what is the average of x and y?
A:1/2 B:1 C:z/2 D:(x+y)/2z

Answer 1

Answer:

Step-by-step explanation:

Given xy = z

also 1/z = (y +2x)/xy —-> y + 2x = 1 → y + x = 1-x

Average of x and y = (x+y)/2 = (1-x)/2