解二元一次方程组·{(2x+y)/2+(2x-y)/3=1① {4(2x+y)-5(2x-y)=8②·{2x+y/2+2x-y/3=1

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解二元一次方程组·{(2x+y)/2+(2x-y)/3=1① {4(2x+y)-5(2x-y)=8②·{2x+y/2+2x-y/3=1

解二元一次方程组·{(2x+y)/2+(2x-y)/3=1① {4(2x+y)-5(2x-y)=8②·{2x+y/2+2x-y/3=1
解二元一次方程组·{(2x+y)/2+(2x-y)/3=1① {4(2x+y)-5(2x-y)=8②
·{2x+y/2+2x-y/3=1

解二元一次方程组·{(2x+y)/2+(2x-y)/3=1① {4(2x+y)-5(2x-y)=8②·{2x+y/2+2x-y/3=1
设2x+y为a,2x-y为b,则
a/2+b/3=1 (1)
4a-5b=8 (2)
(1)*8-(2) 得 23b/3=0 即b=0
故a=2
因此2x+y=2,2x-y=0
解得x=1/2,y=1

采用整体法,将2x+y和2x-y看成整体,解出来,再求x和y

采用整体法,将2x+y和2x-y看成整体,解出来,x=1/2
y=1

x=1/2
y=1

先给1式乘以6得:3(2X+Y)+2(2X-Y)=6,再跟4(2x+y)-5(2x-y)=8联立,
并将2X+Y和2X-Y看做整体求解 解得
x=1/2
y=1