4(x+y)-3(x-y)=14,x+y/2 + x-y/3=6 用简便方法能解吗?
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![4(x+y)-3(x-y)=14,x+y/2 + x-y/3=6 用简便方法能解吗?](/uploads/image/z/10002258-18-8.jpg?t=4%28x%2By%29-3%28x-y%29%3D14%2Cx%2By%2F2+%2B+x-y%2F3%3D6+%E7%94%A8%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%E8%83%BD%E8%A7%A3%E5%90%97%3F)
4(x+y)-3(x-y)=14,x+y/2 + x-y/3=6 用简便方法能解吗?
4(x+y)-3(x-y)=14,x+y/2 + x-y/3=6 用简便方法能解吗?
4(x+y)-3(x-y)=14,x+y/2 + x-y/3=6 用简便方法能解吗?
设x+y/2 =m x-y/3=n
则
8m-9n=14 ①
m+n=6
解得
m=4
n=2
∴x+y/2=4 x+y=8
x-y/3=2 x-y=6
∴x=7
y=1