xy=8, 8x^2+y^2=72

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xy=8, 8x²+y²=72

Solution

(

`x`=1,	`y`=8
`x`=−1,	`y`=−8
`x`=2√2,	`y`=2√2
`x`=−2√2,	`y`=−2√2

)

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[

xy=8

8x²+y²=72

]

Isolate x for xy=8: x=8y ; y≠ 0

Plug the solutions x=8y into 8x²+y²=72

For 8x²+y²=72, subsitute x with 8y : y=8, y=−8, y=2√2, y=−2√2

Plug the solutions y=8, y=−8, y=2√2, y=−2√2 into xy=8

For xy=8, subsitute y with 8: x=1

For xy=8, subsitute y with −8: x=−1

For xy=8, subsitute y with 2√2: x=2√2

For xy=8, subsitute y with −2√2: x=−2√2

Verify solutions by plugging them into the original equations

Therefore, the final solutions for xy=8, 8x²+y²=72 are

(

`x`=1,	`y`=8
`x`=−1,	`y`=−8
`x`=2√2,	`y`=2√2
`x`=−2√2,	`y`=−2√2

)

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

xy=8, 8x^2+y^2=72

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