- #1
tennesseewiz
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Homework Statement
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.
Homework Equations
I substituted a lot of equations and I know I need x to equal something. What I got was:
x= abcx/(acx+bcx-abx-abc)
However I don't know how to solve for x (my algebra skills suck... don't ask me how I made it to discrete mathematics...)
The Attempt at a Solution
I know that if I solve for x, I can basically work out the problem on my own.