已知|2x-3y|+|3x-y-1|=0,求x,y的值.
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已知|2x-3y|+|3x-y-1|=0,求x,y的值.
已知|2x-3y|+|3x-y-1|=0,求x,y的值.
已知|2x-3y|+|3x-y-1|=0,求x,y的值.
2x-3y=0 (1)
3x-y-1=0 (2)
由(2)得
y=3x-1 (3)
把y=3x-1代入(1)得
2x-9x+3=0
∴x=3/7
把x=3/7代入(3)得
y=2/7
∴x=3/7
y=2/7
因为|2x-3y|≥0,|3x-y-1|≥0
|2x-3y|+|3x-y-1|=0
则|2x-3y|=0,|3x-y-1|=0
即
2x-3y=0,3x-y-1=0
解得x=3/7,y=2/7
由题可知2x-3y=0;3x-y-1=0,所以x=3/7;y=2/7.
x=3/7,y=2/7
|2X-3Y|和|3X-Y-1|分别都等于0
则X=3/7 ,Y=2/7
|2x-3y|=o ,|3x-y-1|=o解此方程组2x-3y=o
3x-y-1=0 得x=3/7
y=2/7
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