- #1
sjaguar13
- 49
- 0
Suppose a, b, and c are integers and x, y, and z are nonzero real numbers that satisfy the following equations:
xy/x+y = a
xz/x+z = b
yz/y+z = c
Is x rational? If so, express it as a ratio of two integers.
I am pretty sure x is rational, but I don't know how to get the ratio. I am guessing the ratio uses a, b, or c. I tried solving for x, but that got me no where.
xy/x+y = a
xz/x+z = b
yz/y+z = c
Is x rational? If so, express it as a ratio of two integers.
I am pretty sure x is rational, but I don't know how to get the ratio. I am guessing the ratio uses a, b, or c. I tried solving for x, but that got me no where.