x^2+y^2=162, xy=81

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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x²+y²=162, xy=81

Solution

(

`x`=9,	`y`=9
`x`=−9,	`y`=−9

)

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Solution steps

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[

x²+y²=162

xy=81

]

Isolate x for xy=81: x=81y ; y≠ 0

Plug the solutions x=81y into x²+y²=162

For x²+y²=162, subsitute x with 81y : y=9, y=−9

Plug the solutions y=9, y=−9 into xy=81

For xy=81, subsitute y with 9: x=9

For xy=81, subsitute y with −9: x=−9

Verify solutions by plugging them into the original equations

Therefore, the final solutions for x²+y²=162, xy=81 are

(

`x`=9,	`y`=9
`x`=−9,	`y`=−9

)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

x^2+y^2=162, xy=81

Solution

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