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Question Number 49570 by Tawa1 last updated on 07/Dec/18

$$\mathrm{Eliminate}\mathbf{t}\mathrm{from}\mathrm{this}\mathrm{equation}:\left(1\right)\mathrm{x}=1+\mathrm{t},\mathrm{y}=1+\frac{1}{\mathrm{t}}$$$$\left(2\right)\mathrm{x}=3+{\mathrm{t}}^3,\mathrm{y}=2+\frac{1}{\mathrm{t}}$$

Answered by afachri last updated on 07/Dec/18

$$1)t=x-1$$$$\mathrm{so},y=1+\frac{1}{x-1}$$$$(y-1)(x-1)=1$$$$$$$$2)t={}^3\sqrt{x-3}$$$$\mathrm{so},y=2+\frac{1}{\sqrt[3]{x-3}}$$$$(y-2)=\frac{1}{\sqrt[3]{x-3}}$$$$(y-2)\sqrt[3]{x-3}=1$$$${(y-2)}^3(x-3)=1$$

Commented by afachri last updated on 08/Dec/18

$${:}^{\prime }){\mathrm{thumb}}^{\prime }\mathrm{s}\mathrm{up}$$

Commented by Tawa1 last updated on 07/Dec/18

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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