Abx+b²y=ab-b²...(1)abx-a²y=a²+ab...(2)(1)-(2)abx+b²y-abx+a²y=ab-b²-a²-ab(b²+a²)y=-(b²+a²)y=-(b²+a²)/(b²+a²)=-1Put y=-1 in (1)ax-b=a-bax=a-b+bx=a/a=1
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