100x+10y+z=48(x+Y+Z) x+Z=y+3 100x+10y+z-(100z+10y+x)=198 怎么解好的话多给分

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100x+10y+z=48(x+Y+Z) x+Z=y+3 100x+10y+z-(100z+10y+x)=198 怎么解好的话多给分
100x+10y+z=48(x+Y+Z) x+Z=y+3 100x+10y+z-(100z+10y+x)=198 怎么解
好的话多给分

100x+10y+z=48(x+Y+Z) x+Z=y+3 100x+10y+z-(100z+10y+x)=198 怎么解好的话多给分
100x+10y+z=48(x+Y+Z)
x+Z=y+3
100x+10y+z-(100z+10y+x)=198
整理得
52x-38y-47z=0 (1)
x-y+z=3 (2)
99x-99z=198即x-z=2 (3)
由(3)得x=z+2 (4)
代入(2)得y=2z-1 (5)
代入(1)得52(z+2)-38(2z-1)-47z=0
解得z=2
代入(4)(5)中得x=4,y=3

100x+10y+z-(100z+10y+x)=198
100x+10y+z-100z-10y-x=198
99x-99z=198
x-z=2
x=z+2;
x+Z=y+3
z+2+z=y+3
y=2z-1;
100x+10y+z=48(x+Y+Z)
100(z+2)+10y+z=48(2z+y+2)
101z+200+10y=96z+48y+96
5z-38y+104=0
5z-38(2z-1)+104=0
5z-76z+38+104=0
71z=142
Z=2
Y=2z-1=3
X=z+2=5