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System of Equations: solve the systems of equations and express answers as ordered pairs

$$\left \{ xy=2/ x^2+2xy=8 \right \}$$

Mar 8, 2018

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$$(xy=2/x^2+2xy=8)$$

$$(x=\frac{2}{y}/x^2+2xy=8)$$

$$x^2+2x\frac{2}{x}=8$$

$$x^2+4=8$$

$$x^2-4=0$$

$$x = \pm2$$

- - - - -

$$xy=2$$

$$(2)y=2/(-2)y=2$$

$$y=\pm1$$

$$(2, 1)$$ or $$(-2, -1)$$

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Mar 8, 2018