If y=-5 when x=3, how do you find x when y=-3 given that y varies inversely as x?

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If y=-5 when x=3, how do you find x when y=-3 given that y varies inversely as x?

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Answer 1 · 2017-08-06T13:21:28

$x = 5$ $x=5$

Explanation:

$the initial statement is y \propto \frac{1}{x}$ $"the initial statement is "yprop1/x$

$to convert to an equation multiply by k the constant of$ $"to convert to an equation multiply by k the constant of"$
$variation$ $"variation"$

$\Rightarrow y = k \times \frac{1}{x} = \frac{k}{x}$ $rArry=kxx1/x=k/x$

$to find k use the given condition$ $"to find k use the given condition"$

$y = - 5 when x = 3$ $y=-5" when "x=3$

$y = \frac{k}{x} \Rightarrow k = y x = - 5 \times 3 = - 15$ $y=k/xrArrk=yx=-5xx3=-15$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-15/x)color(white)(2/2)|)))$

$"when "y=-3$

$x=-15/y=-15/(-3)=5$

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If y=-5 when x=3, how do you find x when y=-3 given that y varies inversely as x?

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Explanation:

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