If y=12 when x=3, how do you find x when y=6 given y varies inversely as x?

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Answer 1 · 2017-06-29T16:48:47

$x = 6$ $x=6$

An inverse relation means that:

$k = y x$ $k=yx$

Where $k$ $k$ is a constant.

In this case, we have that:

$k = (12) (3) = 36$ $k=(12)(3)=36$

So we can replace K with 36.

$36 = y x$ $36=yx$

Now, plug in $y = 6$ $y=6$ and solve for $x$ $x$ .

$36 = (6) x$ $36=(6)x$

Divide both sides by 6.

$6 = x$ $6=x$

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