# Assume y varies inversely as x, if y=8 when x=4, how do you find x when y=2?

To find x when y=2, we can use the inverse variation formula: y = k/x.

First, we need to find the constant of variation (k). We can do this by substituting the given values into the formula: 8 = k/4.

Solving for k, we multiply both sides by 4: 32 = k.

Now that we have the value of k, we can find x when y=2. Substituting the values into the formula: 2 = 32/x.

To solve for x, we multiply both sides by x: 2x = 32.

Finally, we divide both sides by 2 to isolate x: x = 16.

Therefore, when y=2, x=16.

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