Find the value of the equation:
$2 x y (x - 4) + 5 y$ when:
i) $x = 2, y = - 1 (ii) x = \frac{1}{4}, y = \frac{- 1}{2}$

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Solution

$2 x y (x - 4) + 5 y$

i) $x = 2; y = - 1$

$= 2 (2) (- 1) (2 - 4) + 5 (- 1)$

$= 8 - 5 = 3$

ii) $x = \frac{1}{4}; y = \frac{- 1}{2}$

$= 2 (\frac{1}{4}) (\frac{- 1}{2}) [\frac{1}{4} - 4] + 5 [\frac{- 1}{2}]$

$= \frac{1}{4} \times \frac{15}{16} - \frac{5 \times 32}{64} = \frac{- 145}{64}$

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