xy=6, x^2+y^2=37

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xy=6, x²+y²=37

Solution

(

`x`=1,	`y`=6
`x`=−1,	`y`=−6
`x`=6,	`y`=1
`x`=−6,	`y`=−1

)

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[

xy=6

x²+y²=37

]

Isolate x for xy=6: x=6y ; y≠ 0

Plug the solutions x=6y into x²+y²=37

For x²+y²=37, subsitute x with 6y : y=6, y=−6, y=1, y=−1

Plug the solutions y=6, y=−6, y=1, y=−1 into xy=6

For xy=6, subsitute y with 6: x=1

For xy=6, subsitute y with −6: x=−1

For xy=6, subsitute y with 1: x=6

For xy=6, subsitute y with −1: x=−6

Verify solutions by plugging them into the original equations

Therefore, the final solutions for xy=6, x²+y²=37 are

(

`x`=1,	`y`=6
`x`=−1,	`y`=−6
`x`=6,	`y`=1
`x`=−6,	`y`=−1

)

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

xy=6, x^2+y^2=37

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