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Question Number 121442 by bramlexs22 last updated on 08/Nov/20

Answered by liberty last updated on 08/Nov/20

Answered by Don08q last updated on 09/Nov/20

 y^2 −3xy+x^2 −x+y+9=0   y^2 −2xy+x^2 −xy+y−x+9=0   (y−x)^2 +(y−x)+9=xy   (2)^2 +(2)+9=xy   xy = 15

$$\:{y}^{\mathrm{2}} −\mathrm{3}{xy}+{x}^{\mathrm{2}} −{x}+{y}+\mathrm{9}=\mathrm{0} \\ $$$$\:{y}^{\mathrm{2}} −\mathrm{2}{xy}+{x}^{\mathrm{2}} −{xy}+{y}−{x}+\mathrm{9}=\mathrm{0} \\ $$$$\:\left({y}−{x}\right)^{\mathrm{2}} +\left({y}−{x}\right)+\mathrm{9}={xy} \\ $$$$\:\left(\mathrm{2}\right)^{\mathrm{2}} +\left(\mathrm{2}\right)+\mathrm{9}={xy} \\ $$$$\:{xy}\:=\:\mathrm{15} \\ $$$$\: \\ $$

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