# If y varies directly as x, and y=42 as x=6, how do you find y for the x-value 3?

To find y for the x-value 3, we can use the concept of direct variation. Since y varies directly as x, we can set up a proportion using the given values.

First, we can write the direct variation equation as y = kx, where k is the constant of variation.

To find the value of k, we can use the given information that y = 42 when x = 6. Plugging these values into the equation, we get 42 = k * 6.

Solving for k, we divide both sides of the equation by 6, giving us k = 7.

Now that we have the value of k, we can use it to find y for the x-value 3. Plugging x = 3 into the direct variation equation, we get y = 7 * 3.

Simplifying, we find that y = 21.

Therefore, when x = 3, y is equal to 21.

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on observing the values

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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