令 x/3=y/5=z/6 =t
则
x=3t
y=5t
z=6t
x+3y+5z=96解三元一次方程
1*3t+3*5t+5*6t=48t=96
t=96/48=2
x=3t=6
y=5t=10
z=6t=12