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Question Number 61744 by Cheyboy last updated on 08/Jun/19

$$3{xy}^2+x^3=9-----\left(1\right)$$$$3x^{2}y+y^3=18----\left(2\right)$$$$Findxandy$$

Commented by Cheyboy last updated on 08/Jun/19

$$thankGodblessyou$$

Commented by Cheyboy last updated on 08/Jun/19

$$sirhowdidthe3disapper$$

Commented by Prithwish sen last updated on 08/Jun/19

$$\mathrm{Adding}\left(1\right)\mathrm{and}\left(2\right)$$$${(\mathrm{x}+\mathrm{y})}^3=27$$$$\therefore \mathrm{x}+\mathrm{y}=3.......\left(3\right)$$$$\mathrm{Substracting}\left(2\right)\mathrm{from}\left(1\right)$$$${(\mathrm{x}-\mathrm{y})}^3=-9$$$$\therefore \mathrm{x}-\mathrm{y}=-9^{\frac{1}{3}}.......\left(4\right)$$$$\mathrm{Adding}\left(3\right)\mathrm{and}\left(4\right)$$$$\mathrm{x}=\frac{1}{2}(3-9^{\frac{1}{3}})$$$$\mathrm{Substracting}\left(4\right)\mathrm{from}\left(3\right)$$$$\mathrm{y}=\frac{1}{2}(3+9^{\frac{1}{3}})$$$$$$

Commented by gunawan last updated on 08/Jun/19

$$\mathrm{nice}\mathrm{solution}$$

Commented by Prithwish sen last updated on 08/Jun/19

$$\mathrm{thank}\mathrm{you}\mathrm{sir}.$$

Commented by Rasheed.Sindhi last updated on 08/Jun/19

$${\mathfrak{e}}^{\mathrm{x}}\mathfrak{cellent}!$$

Commented by Prithwish sen last updated on 08/Jun/19

$$\mathrm{thank}\mathrm{you}$$

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