{x+y/2 + x-y/2=6,4(x+y) - 5(x-y)=2 用换元法
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{x+y/2+x-y/2=6,4(x+y)-5(x-y)=2用换元法{x+y/2+x-y/2=6,4(x+y)-5(x-y)=2用换元法{x+y/2+x-y/2=6,4(x+y)-5(x-y)=2用换
{x+y/2 + x-y/2=6,4(x+y) - 5(x-y)=2 用换元法
{x+y/2 + x-y/2=6,4(x+y) - 5(x-y)=2 用换元法
{x+y/2 + x-y/2=6,4(x+y) - 5(x-y)=2 用换元法
用换元法,
设x+y=s,x-y=t,
则原方程组为,
s/2+t/3=6,①
4s-5t=2,②
将①×15+②,得,
23s/2=92
解得s=8,
t=6
即x+y=8,
x-y=6
两式加,得,x=7,y=1
所以方程组的解为
x=7
y=1
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设:x+y=m,x-y=n
则原方程化为:m/2+n/2=6,4m+5n=2
解得,m=58,n=-46
所以,x+y=58,x-y=-46
解得,x=6,y=52
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