x;y;z tỉ lệ với 5;4;3
=>\(\dfrac{x}{5}=\dfrac{y}{4}=\dfrac{z}{3}=k\)
=>x=5k; y=4k; z=3k
\(P=\dfrac{x+2y-3z}{x-2y+3z}=\dfrac{5k+2\cdot4k-3\cdot3k}{5k-2\cdot4k+3\cdot3k}\)
\(=\dfrac{5k+8k-9k}{5k-8k+9k}=\dfrac{13-9}{5-8+9}=\dfrac{4}{5+1}=\dfrac{4}{6}=\dfrac{2}{3}\)