解方程(3x+2y)/4=(2x+3y)/5=(x-1)/6

问题描述:

解方程(3x+2y)/4=(2x+3y)/5=(x-1)/6

(3X+2Y)/4=(2X+3Y)/5①
(3X+2Y)/4=(X-1)/6②
化简①,4(2X+3Y)=5(3X+2Y),8X+12Y=15X+10Y,2Y=7X,Y=7X/2③
化简②4(X-1)=6(3X+2Y),4X-4=18X+12Y,12Y=-14X-4④
将③代入④,42X=-14X-4,X=-1/14
代入③Y=-1/4