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ax+by=a-b ; bx-ay=a+b...

ax+by=a-b ; bx-ay=a+b

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`a^2x+aby=a^2-ab`
`b^2x-aby=ab+b^2`
`a^2x+b^2x=a^2+b^2`
`(a^2+b^2)x=a^2+b^2`
`(a^2+b^2)x=a^2+b^2`
`x=1`
`b-ay=a+b`
`y=-1`.
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