若(2x+3y-6)² 于5x-6y+21的绝对值互为相反数,求x和y

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若(2x+3y-6)² 于5x-6y+21的绝对值互为相反数,求x和y

若(2x+3y-6)² 于5x-6y+21的绝对值互为相反数,求x和y
若(2x+3y-6)² 于5x-6y+21的绝对值互为相反数,求x和y

若(2x+3y-6)² 于5x-6y+21的绝对值互为相反数,求x和y
(2x+3y-6)² 于5x-6y+21的绝对值互为相反数
所以(2x+3y-6)^2+|5x-6y+21|=0
绝对值和平方大于等于0,相加等于0,若有一个大于0,则另一个小于0,不成立
所以两个都等于0
所以2x+3y-6=0 (1)
5x-6y+21=0 (2)
(1)*2+(2)
4x+6y-12+5x-6y+21=0
9x=-9
x=-1
代入(1),-2+3y-6=0,3y=8
所以x=-1,y=8/3

(2x+3y-6)^2+|5x-6y+21|=0
2x+3y-6=0
5x-6y+21=0
x=-1,
y=8/3

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