将方程左边通分得
180x+180y
————=360①
xy
240x+120y
————=360②
xy
180x+180y=240x+120y=360xy
60x=60y
x=y
将x=y代入①得
180x+180x
————=360
x^2
360/x=360
x=1
y=x
所以y=1