二元一次方程组2x+3y/4+2x-3y/3=7m 2x+3y/3+2x-3y/2=8m

问题描述:

二元一次方程组2x+3y/4+2x-3y/3=7m 2x+3y/3+2x-3y/2=8m

设2x+3y=A,2x-3y=B
∴A/4+B/3=7m,即 3A+4B=84m ①
A/3+B/2=8m,即2A+3B=48m ②
①×2-②×3得 -B=24m
∴B=-24m,即2x-3y=-24m ④
∴A=60m,即2x+3y=60m ⑤
∴④+⑤得 4x=36m
∴x=9m
∴y=14m