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

To find x when y=6, given that y varies inversely as x, you can use the inverse variation formula. The formula is y = k/x, where k is the constant of variation.

First, substitute the given values into the formula: 12 = k/3.

Next, solve for k by multiplying both sides of the equation by 3: 36 = k.

Now, substitute the value of k into the formula: 6 = 36/x.

To find x, isolate it by multiplying both sides of the equation by x: 6x = 36.

Finally, solve for x by dividing both sides of the equation by 6: x = 6.

Therefore, when y=6, x=6.

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An inverse relation means that:

In this case, we have that:

So we can replace K with 36.

Divide both sides by 6.

Final Answer

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