# Math Help - Fractions help

1. ## Fractions help

Hi, I need help on the following problem:

If $\frac{(2y+2z-x)}{a} = \frac{(2z+2x-y)}{b} = \frac{(2x+2y-z)}{c}$ show that: $\frac{x}{(2b+2c-a)} = \frac{y}{(2c+2a-b)} = \frac{z}{(2a+2b-c)}$

Any hints will help, thanks.

2. I think you've to repeatedly use "componendo et dividendo" i.e.
if a/b = c/d then (a+b)/(a-b) = (c+d)/(c-d)