已知xyz满足2/x=3/(y-z)=5/(y+z),则(5x-y)/(y+2z)的值为?

Question

已知xyz满足2/x=3/(y-z)=5/(y+z),则 (5x-y)/(y+2z)的值为?

Answer 1

可以得到三个方程 5x=2y+2z 2y-2z=3x 3y+3z=5y-5z 得到x=2z y=4z 则(5x-y)/(y+2z)=1